72319032 has 48 divisors (see below), whose sum is σ = 202188480. Its totient is φ = 23328000.

The previous prime is 72319031. The next prime is 72319033. The reversal of 72319032 is 23091327.

It is an interprime number because it is at equal distance from previous prime (72319031) and next prime (72319033).

It is a junction number, because it is equal to n+sod(n) for n = 72318987 and 72319005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72319031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13969 + ... + 18432.

It is an arithmetic number, because the mean of its divisors is an integer number (4212260).

Almost surely, 2^72319032 is an apocalyptic number.

72319032 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72319032 is an abundant number, since it is smaller than the sum of its proper divisors (129869448).

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

72319032 is a wasteful number, since it uses less digits than its factorization.

72319032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32444 (or 32437 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 72319032 is about 8504.0597363847. The cubic root of 72319032 is about 416.6303160466.

The spelling of 72319032 in words is "seventy-two million, three hundred nineteen thousand, thirty-two".