372840 has 64 divisors (see below), whose sum is σ = 1209600. Its totient is φ = 91392.

The previous prime is 372839. The next prime is 372847. The reversal of 372840 is 48273.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 372840.

It is not an unprimeable number, because it can be changed into a prime (372847) 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, 1441 + ... + 1679.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

372840 is a Friedman number, since it can be written as 72^3-408, using all its digits and the basic arithmetic operations.

2³⁷²⁸⁴⁰ is an apocalyptic number.

372840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 372840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604800).

372840 is an abundant number, since it is smaller than the sum of its proper divisors (836760).

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

372840 is a wasteful number, since it uses less digits than its factorization.

372840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 372840 is about 610.6062561095. The cubic root of 372840 is about 71.9737558672.

Subtracting from 372840 its sum of digits (24), we obtain a triangular number (372816 = T₈₆₃).

The spelling of 372840 in words is "three hundred seventy-two thousand, eight hundred forty".