72534117600 has 576 divisors, whose sum is σ = 317454681600. Its totient is φ = 15603425280.

The previous prime is 72534117541. The next prime is 72534117707. The reversal of 72534117600 is 671143527.

It is a happy number.

72534117600 is a `hidden beast` number, since 7 + 2 + 5 + 3 + 41 + 1 + 7 + 600 = 666.

It is a super-2 number, since 2×72534117600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2556291 + ... + 2584509.

It is an arithmetic number, because the mean of its divisors is an integer number (551136600).

Almost surely, 2^72534117600 is an apocalyptic number.

72534117600 is a gapful number since it is divisible by the number (70) 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 72534117600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158727340800).

72534117600 is an abundant number, since it is smaller than the sum of its proper divisors (244920564000).

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

72534117600 is a wasteful number, since it uses less digits than its factorization.

72534117600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28272 (or 28253 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 72534117600 in words is "seventy-two billion, five hundred thirty-four million, one hundred seventeen thousand, six hundred".