72381032 has 32 divisors (see below), whose sum is σ = 147475200. Its totient is φ = 33177600.

The previous prime is 72381017. The next prime is 72381047. The reversal of 72381032 is 23018327.

It is an interprime number because it is at equal distance from previous prime (72381017) and next prime (72381047).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 72380992 and 72381010.

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, 2969 + ... + 12392.

It is an arithmetic number, because the mean of its divisors is an integer number (4608600).

Almost surely, 2^72381032 is an apocalyptic number.

It is an amenable number.

72381032 is an abundant number, since it is smaller than the sum of its proper divisors (75094168).

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

72381032 is a wasteful number, since it uses less digits than its factorization.

72381032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15417 (or 15413 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 72381032 is about 8507.7042731867. The cubic root of 72381032 is about 416.7493428119.

Adding to 72381032 its reverse (23018327), we get a palindrome (95399359).

The spelling of 72381032 in words is "seventy-two million, three hundred eighty-one thousand, thirty-two".