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72420121452 = 223713921412897
BaseRepresentation
bin100001101110010010…
…0110101101101101100
320220221002020100101110
41003130210311231230
52141304022341302
653134102312020
75142431606220
oct1033444655554
9226832210343
1072420121452
11287932a8148
1212051428610
136aa1959a93
1437101d2780
151d3cd0db6c
hex10dc935b6c

72420121452 has 96 divisors (see below), whose sum is σ = 194667701760. Its totient is φ = 20525921280.

The previous prime is 72420121399. The next prime is 72420121469. The reversal of 72420121452 is 25412102427.

It is a super-2 number, since 2×724201214522 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24996868 + ... + 24999764.

It is an arithmetic number, because the mean of its divisors is an integer number (2027788560).

Almost surely, 272420121452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72420121452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97333850880).

72420121452 is an abundant number, since it is smaller than the sum of its proper divisors (122247580308).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72420121452 is a wasteful number, since it uses less digits than its factorization.

72420121452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5191 (or 5189 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

Adding to 72420121452 its reverse (25412102427), we get a palindrome (97832223879).

The spelling of 72420121452 in words is "seventy-two billion, four hundred twenty million, one hundred twenty-one thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 139 278 417 556 834 973 1668 1946 2141 2897 2919 3892 4282 5794 5838 6423 8564 8691 11588 11676 12846 14987 17382 20279 25692 29974 34764 40558 44961 59948 60837 81116 89922 121674 179844 243348 297599 402683 595198 805366 892797 1190396 1208049 1610732 1785594 2083193 2416098 2818781 3571188 4166386 4832196 5637562 6202477 6249579 8332772 8456343 11275124 12404954 12499158 16912686 18607431 24809908 24998316 33825372 37214862 43417339 74429724 86834678 130252017 173669356 260504034 521008068 862144303 1724288606 2586432909 3448577212 5172865818 6035010121 10345731636 12070020242 18105030363 24140040484 36210060726 72420121452