72164512 has 48 divisors (see below), whose sum is σ = 163864512. Its totient is φ = 30643200.

The previous prime is 72164509. The next prime is 72164513. The reversal of 72164512 is 21546127.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (72164513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23887 + ... + 26737.

It is an arithmetic number, because the mean of its divisors is an integer number (3413844).

Almost surely, 2^72164512 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 72164512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81932256).

72164512 is an abundant number, since it is smaller than the sum of its proper divisors (91700000).

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

72164512 is a wasteful number, since it uses less digits than its factorization.

72164512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981 (or 2973 counting only the distinct ones).

The product of its digits is 3360, while the sum is 28.

The square root of 72164512 is about 8494.9698057144. The cubic root of 72164512 is about 416.3333742877. Note that the first 4 decimals are identical.

The spelling of 72164512 in words is "seventy-two million, one hundred sixty-four thousand, five hundred twelve".