72431772 has 24 divisors (see below), whose sum is σ = 193151616. Its totient is φ = 20694768.

The previous prime is 72431771. The next prime is 72431773. The reversal of 72431772 is 27713427.

It is an interprime number because it is at equal distance from previous prime (72431771) and next prime (72431773).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72431771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 431058 + ... + 431225.

It is an arithmetic number, because the mean of its divisors is an integer number (8047984).

Almost surely, 2^72431772 is an apocalyptic number.

It is an amenable number.

72431772 is an abundant number, since it is smaller than the sum of its proper divisors (120719844).

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

72431772 is a wasteful number, since it uses less digits than its factorization.

72431772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862297 (or 862295 counting only the distinct ones).

The product of its digits is 16464, while the sum is 33.

The square root of 72431772 is about 8510.6857538039. The cubic root of 72431772 is about 416.8467022159.

The spelling of 72431772 in words is "seventy-two million, four hundred thirty-one thousand, seven hundred seventy-two".