372125600 has 216 divisors, whose sum is σ = 1154176128. Its totient is φ = 115852800.

The previous prime is 372125587. The next prime is 372125609. The reversal of 372125600 is 6521273.

It is a self number, because there is not a number n which added to its sum of digits gives 372125600.

It is not an unprimeable number, because it can be changed into a prime (372125609) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 430769 + ... + 431631.

It is an arithmetic number, because the mean of its divisors is an integer number (5343408).

Almost surely, 2^372125600 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 372125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577088064).

372125600 is an abundant number, since it is smaller than the sum of its proper divisors (782050528).

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

372125600 is a wasteful number, since it uses less digits than its factorization.

372125600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 372125600 is about 19290.5572755170. The cubic root of 372125600 is about 719.2775675504.

Adding to 372125600 its reverse (6521273), we get a palindrome (378646873).

It can be divided in two parts, 3721 and 25600, that multiplied together give a square (95257600 = 9760²).

The spelling of 372125600 in words is "three hundred seventy-two million, one hundred twenty-five thousand, six hundred".