372645 has 54 divisors (see below), whose sum is σ = 813618. Its totient is φ = 157248.

The previous prime is 372637. The next prime is 372653. The reversal of 372645 is 546273.

It is a happy number.

372645 is nontrivially palindromic in base 4 and base 16.

It is an interprime number because it is at equal distance from previous prime (372637) and next prime (372653).

It can be written as a sum of positive squares in 3 ways, for example, as 1764 + 370881 = 42^2 + 609^2 .

It is not a de Polignac number, because 372645 - 2³ = 372637 is a prime.

Its product of digits (5040) is a multiple of the sum of its prime divisors (28).

It is a zygodrome in base 4.

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 372645.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 28659 + ... + 28671.

It is an arithmetic number, because the mean of its divisors is an integer number (15067).

372645 is a Friedman number, since it can be written as 273^(6-4)*5, using all its digits and the basic arithmetic operations.

2³⁷²⁶⁴⁵ is an apocalyptic number.

372645 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

372645 is an abundant number, since it is smaller than the sum of its proper divisors (440973).

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

372645 is a wasteful number, since it uses less digits than its factorization.

372645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 28 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 372645 is about 610.4465578574. The cubic root of 372645 is about 71.9612059531.

The spelling of 372645 in words is "three hundred seventy-two thousand, six hundred forty-five".