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72425592096 = 253111341128677
BaseRepresentation
bin100001101110011100…
…1101101010100100000
320220221110112021200220
41003130321231110200
52141311422421341
653134415443040
75142526242504
oct1033471552440
9226843467626
1072425592096
11287963a4340
1212053226480
136aa2b23b50
143710c18304
151d3d53ea66
hex10dce6d520

72425592096 has 192 divisors, whose sum is σ = 228803895936. Its totient is φ = 19764633600.

The previous prime is 72425592091. The next prime is 72425592103. The reversal of 72425592096 is 69029552427.

It is not an unprimeable number, because it can be changed into a prime (72425592091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 498510 + ... + 627186.

It is an arithmetic number, because the mean of its divisors is an integer number (1191686958).

Almost surely, 272425592096 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 72425592096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114401947968).

72425592096 is an abundant number, since it is smaller than the sum of its proper divisors (156378303840).

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

72425592096 is a wasteful number, since it uses less digits than its factorization.

72425592096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128755 (or 128747 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 72425592096 in words is "seventy-two billion, four hundred twenty-five million, five hundred ninety-two thousand, ninety-six".