72515312 has 40 divisors (see below), whose sum is σ = 146575440. Its totient is φ = 34711040.

The previous prime is 72515309. The next prime is 72515321. The reversal of 72515312 is 21351527.

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, 60188 + ... + 61380.

It is an arithmetic number, because the mean of its divisors is an integer number (3664386).

Almost surely, 2^72515312 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 72515312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73287720).

72515312 is an abundant number, since it is smaller than the sum of its proper divisors (74060128).

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

72515312 is a wasteful number, since it uses less digits than its factorization.

72515312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1355 counting only the distinct ones).

The product of its digits is 2100, while the sum is 26.

The square root of 72515312 is about 8515.5922870931. The cubic root of 72515312 is about 417.0068989230.

Adding to 72515312 its reverse (21351527), we get a palindrome (93866839).

It can be divided in two parts, 72515 and 312, that added together give a palindrome (72827).

The spelling of 72515312 in words is "seventy-two million, five hundred fifteen thousand, three hundred twelve".