372000 has 96 divisors (see below), whose sum is σ = 1257984. Its totient is φ = 96000.

The previous prime is 371999. The next prime is 372013. The reversal of 372000 is 273.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 372000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11985 + ... + 12015.

It is an arithmetic number, because the mean of its divisors is an integer number (13104).

2³⁷²⁰⁰⁰ is an apocalyptic number.

372000 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 372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628992).

372000 is an abundant number, since it is smaller than the sum of its proper divisors (885984).

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

372000 is a wasteful number, since it uses less digits than its factorization.

372000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 12.

The square root of 372000 is about 609.9180272791. The cubic root of 372000 is about 71.9196634815.

Adding to 372000 its reverse (273), we get a palindrome (372273).

It can be divided in two parts, 3 and 72000, that multiplied together give a cube (216000 = 60³).

The spelling of 372000 in words is "three hundred seventy-two thousand", and thus it is an iban number.