370872 has 64 divisors (see below), whose sum is σ = 1101600. Its totient is φ = 115200.

The previous prime is 370871. The next prime is 370873. The reversal of 370872 is 278073.

It is an interprime number because it is at equal distance from previous prime (370871) and next prime (370873).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 370872.

It is not an unprimeable number, because it can be changed into a prime (370871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3622 + ... + 3722.

2³⁷⁰⁸⁷² 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 370872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550800).

370872 is an abundant number, since it is smaller than the sum of its proper divisors (730728).

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

370872 is a wasteful number, since it uses less digits than its factorization.

370872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 370872 is about 608.9926107926. The cubic root of 370872 is about 71.8468968896.

The spelling of 370872 in words is "three hundred seventy thousand, eight hundred seventy-two".