372032032 has 48 divisors (see below), whose sum is σ = 754141752. Its totient is φ = 180551680.

The previous prime is 372031987. The next prime is 372032051. The reversal of 372032032 is 230230273.

It can be written as a sum of positive squares in 4 ways, for example, as 137452176 + 234579856 = 11724^2 + 15316^2 .

It is a junction number, because it is equal to n+sod(n) for n = 372031994 and 372032012.

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, 305088 + ... + 306304.

Almost surely, 2^372032032 is an apocalyptic number.

372032032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 372032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377070876).

372032032 is an abundant number, since it is smaller than the sum of its proper divisors (382109720).

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

372032032 is a wasteful number, since it uses less digits than its factorization.

372032032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 22.

The square root of 372032032 is about 19288.1318950281. The cubic root of 372032032 is about 719.2172769702.

The spelling of 372032032 in words is "three hundred seventy-two million, thirty-two thousand, thirty-two".