72052512 has 96 divisors (see below), whose sum is σ = 217728000. Its totient is φ = 20437248.

The previous prime is 72052507. The next prime is 72052543. The reversal of 72052512 is 21525027.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119989 + ... + 120587.

It is an arithmetic number, because the mean of its divisors is an integer number (2268000).

Almost surely, 2^72052512 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 72052512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864000).

72052512 is an abundant number, since it is smaller than the sum of its proper divisors (145675488).

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

72052512 is a wasteful number, since it uses less digits than its factorization.

72052512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 72052512 is about 8488.3751095248. The cubic root of 72052512 is about 416.1178783304.

Adding to 72052512 its reverse (21525027), we get a palindrome (93577539).

The spelling of 72052512 in words is "seventy-two million, fifty-two thousand, five hundred twelve".