72512916 has 48 divisors (see below), whose sum is σ = 197492736. Its totient is φ = 20276064.

The previous prime is 72512863. The next prime is 72512917. The reversal of 72512916 is 61921527.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72512917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5236 + ... + 13131.

It is an arithmetic number, because the mean of its divisors is an integer number (4114432).

Almost surely, 2^72512916 is an apocalyptic number.

It is an amenable number.

72512916 is an abundant number, since it is smaller than the sum of its proper divisors (124979820).

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

72512916 is a wasteful number, since it uses less digits than its factorization.

72512916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18428 (or 18426 counting only the distinct ones).

The product of its digits is 7560, while the sum is 33.

The square root of 72512916 is about 8515.4516028218. The cubic root of 72512916 is about 417.0023060561.

The spelling of 72512916 in words is "seventy-two million, five hundred twelve thousand, nine hundred sixteen".