372683025 has 189 divisors, whose sum is σ = 824678337. Its totient is φ = 166795200.

The previous prime is 372682997. The next prime is 372683029. The reversal of 372683025 is 520386273.

The square root of 372683025 is 19305.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 96059601 + 276623424 = 9801^2 + 16632^2 .

It is a de Polignac number, because none of the positive numbers 2^k-372683025 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (372683029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 28667919 + ... + 28667931.

Almost surely, 2^372683025 is an apocalyptic number.

372683025 is the 19305-th square number.

372683025 is the 9653-rd centered octagonal number.

It is an amenable number.

372683025 is an abundant number, since it is smaller than the sum of its proper divisors (451995312).

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

372683025 is a wasteful number, since it uses less digits than its factorization.

372683025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The cubic root of 372683025 is about 719.6365352995.

Multiplying 372683025 by its sum of digits (36), we get a square (13416588900 = 115830²).

The spelling of 372683025 in words is "three hundred seventy-two million, six hundred eighty-three thousand, twenty-five".