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72003200472 = 233271995411327
BaseRepresentation
bin100001100001110111…
…0011010010111011000
320212212000201120022200
41003003232122113120
52134430304403342
653024450250200
75126210051160
oct1030356322730
9225760646280
1072003200472
1128599a25255
1211b55886960
136a36472688
1436b0aa55a0
151d1640694c
hex10c3b9a5d8

72003200472 has 192 divisors, whose sum is σ = 224570112000. Its totient is φ = 20415732480.

The previous prime is 72003200471. The next prime is 72003200491. The reversal of 72003200472 is 27400230027.

It is a super-2 number, since 2×720032004722 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72003200471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54259473 + ... + 54260799.

It is an arithmetic number, because the mean of its divisors is an integer number (1169636000).

Almost surely, 272003200472 is an apocalyptic number.

72003200472 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72003200472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112285056000).

72003200472 is an abundant number, since it is smaller than the sum of its proper divisors (152566911528).

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

72003200472 is a wasteful number, since it uses less digits than its factorization.

72003200472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

Adding to 72003200472 its reverse (27400230027), we get a palindrome (99403430499).

The spelling of 72003200472 in words is "seventy-two billion, three million, two hundred thousand, four hundred seventy-two".