72414752 has 24 divisors (see below), whose sum is σ = 145884816. Its totient is φ = 35364672.

The previous prime is 72414751. The next prime is 72414763. The reversal of 72414752 is 25741427.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (72414751) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24938 + ... + 27689.

It is an arithmetic number, because the mean of its divisors is an integer number (6078534).

Almost surely, 2^72414752 is an apocalyptic number.

It is an amenable number.

72414752 is an abundant number, since it is smaller than the sum of its proper divisors (73470064).

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

72414752 is a wasteful number, since it uses less digits than its factorization.

72414752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52680 (or 52672 counting only the distinct ones).

The product of its digits is 15680, while the sum is 32.

The square root of 72414752 is about 8509.6857756324. The cubic root of 72414752 is about 416.8140494796.

The spelling of 72414752 in words is "seventy-two million, four hundred fourteen thousand, seven hundred fifty-two".