72534196800 has 1008 divisors, whose sum is σ = 297160980480. Its totient is φ = 16644096000.

The previous prime is 72534196799. The next prime is 72534196843. The reversal of 72534196800 is 869143527.

It is a super-2 number, since 2×72534196800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 168292585 + ... + 168293015.

It is an arithmetic number, because the mean of its divisors is an integer number (294802560).

It is a 1-persistent number, because it is pandigital, but 2⋅72534196800 = 145068393600 is not.

Almost surely, 2^72534196800 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 72534196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148580490240).

72534196800 is an abundant number, since it is smaller than the sum of its proper divisors (224626783680).

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

72534196800 is a wasteful number, since it uses less digits than its factorization.

72534196800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 72534196800 in words is "seventy-two billion, five hundred thirty-four million, one hundred ninety-six thousand, eight hundred".