372664 has 16 divisors (see below), whose sum is σ = 718200. Its totient is φ = 181152.

The previous prime is 372661. The next prime is 372667. The reversal of 372664 is 466273.

372664 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 (372661) and next prime (372667).

It is a d-powerful number, because it can be written as 3⁷ + 7⁵ + 6 + 2¹³ + 6⁷ + 4⁸ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (372661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 334 + ... + 925.

372664 is a Friedman number, since it can be written as (6^6-73)*4*2, using all its digits and the basic arithmetic operations.

2³⁷²⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

372664 is a deficient number, since it is larger than the sum of its proper divisors (345536).

372664 is a wasteful number, since it uses less digits than its factorization.

372664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1298 counting only the distinct ones).

The product of its digits is 6048, while the sum is 28.

The square root of 372664 is about 610.4621200369. The cubic root of 372664 is about 71.9624289578.

It can be divided in two parts, 37 and 2664, that added together give a triangular number (2701 = T₇₃).

The spelling of 372664 in words is "three hundred seventy-two thousand, six hundred sixty-four".