72534912 has 64 divisors (see below), whose sum is σ = 196819200. Its totient is φ = 23657984.

The previous prime is 72534883. The next prime is 72534941. The reversal of 72534912 is 21943527.

It is an interprime number because it is at equal distance from previous prime (72534883) and next prime (72534941).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×72534912² = 10522626917695488, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16039 + ... + 20057.

It is an arithmetic number, because the mean of its divisors is an integer number (3075300).

Almost surely, 2^72534912 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 72534912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98409600).

72534912 is an abundant number, since it is smaller than the sum of its proper divisors (124284288).

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

72534912 is a wasteful number, since it uses less digits than its factorization.

72534912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4083 (or 4071 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 72534912 is about 8516.7430394488. The cubic root of 72534912 is about 417.0444661564.

The spelling of 72534912 in words is "seventy-two million, five hundred thirty-four thousand, nine hundred twelve".