372800 has 42 divisors (see below), whose sum is σ = 921258. Its totient is φ = 148480.

The previous prime is 372797. The next prime is 372803. The reversal of 372800 is 8273.

372800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (372797) and next prime (372803).

It can be written as a sum of positive squares in 3 ways, for example, as 3136 + 369664 = 56^2 + 608^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (372803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1484 + ... + 1716.

2³⁷²⁸⁰⁰ 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 372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460629).

372800 is an abundant number, since it is smaller than the sum of its proper divisors (548458).

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

372800 is a wasteful number, since it uses less digits than its factorization.

372800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 372800 is about 610.5735008989. The cubic root of 372800 is about 71.9711818827.

The spelling of 372800 in words is "three hundred seventy-two thousand, eight hundred".