72534000416 has 72 divisors (see below), whose sum is σ = 150929702784. Its totient is φ = 34248888960.

The previous prime is 72534000397. The next prime is 72534000431. The reversal of 72534000416 is 61400043527.

It is a super-2 number, since 2×72534000416² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4585481 + ... + 4601271.

It is an arithmetic number, because the mean of its divisors is an integer number (2096245872).

Almost surely, 2^72534000416 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 72534000416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75464851392).

72534000416 is an abundant number, since it is smaller than the sum of its proper divisors (78395702368).

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

72534000416 is a wasteful number, since it uses less digits than its factorization.

72534000416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15982 (or 15895 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The spelling of 72534000416 in words is "seventy-two billion, five hundred thirty-four million, four hundred sixteen", and thus it is an aban number.