72512 has 28 divisors (see below), whose sum is σ = 158496. Its totient is φ = 32640.

The previous prime is 72503. The next prime is 72533. The reversal of 72512 is 21527.

It is a congruent number.

It is an unprimeable number.

72512 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 653 + ... + 755.

2⁷²⁵¹² 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 72512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79248).

72512 is an abundant number, since it is smaller than the sum of its proper divisors (85984).

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

72512 is a wasteful number, since it uses less digits than its factorization.

72512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 116 counting only the distinct ones).

The product of its digits is 140, while the sum is 17.

The square root of 72512 is about 269.2805228753. The cubic root of 72512 is about 41.7000550159.

It can be divided in two parts, 725 and 12, that added together give a palindrome (737).

The spelling of 72512 in words is "seventy-two thousand, five hundred twelve".