372528 has 60 divisors (see below), whose sum is σ = 1128400. Its totient is φ = 114048.

The previous prime is 372523. The next prime is 372539. The reversal of 372528 is 825273.

372528 = 92² + 93² + ... + 123².

It is a super-2 number, since 2×372528² = 277554221568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (372523) by changing a digit.

372528 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1773 + ... + 1971.

2³⁷²⁵²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 372528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564200).

372528 is an abundant number, since it is smaller than the sum of its proper divisors (755872).

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

372528 is a wasteful number, since it uses less digits than its factorization.

372528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 217 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 372528 is about 610.3507188494. The cubic root of 372528 is about 71.9536739031.

It can be divided in two parts, 372 and 528, that added together give a square (900 = 30²).

The spelling of 372528 in words is "three hundred seventy-two thousand, five hundred twenty-eight".