372575952100 has 243 divisors, whose sum is σ = 923420769033. Its totient is φ = 130379304000.

The previous prime is 372575952079. The next prime is 372575952127. The reversal of 372575952100 is 1259575273.

The square root of 372575952100 is 610390.

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

It can be written as a sum of positive squares in only one way, i.e., 134127342756 + 238448609344 = 366234^2 + 488312^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2081429811 + ... + 2081429989.

Almost surely, 2^372575952100 is an apocalyptic number.

372575952100 is the 610390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 372575952100

372575952100 is an abundant number, since it is smaller than the sum of its proper divisors (550844816933).

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

372575952100 is a wasteful number, since it uses less digits than its factorization.

372575952100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 661500, while the sum is 46.

The spelling of 372575952100 in words is "three hundred seventy-two billion, five hundred seventy-five million, nine hundred fifty-two thousand, one hundred".