372405 has 32 divisors (see below), whose sum is σ = 678528. Its totient is φ = 172800.

The previous prime is 372401. The next prime is 372409. The reversal of 372405 is 504273.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (372401) and next prime (372409).

It is not a de Polignac number, because 372405 - 2² = 372401 is a prime.

It is a Curzon number.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (372401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6075 + ... + 6135.

It is an arithmetic number, because the mean of its divisors is an integer number (21204).

2³⁷²⁴⁰⁵ is an apocalyptic number.

It is an amenable number.

372405 is a deficient number, since it is larger than the sum of its proper divisors (306123).

372405 is a wasteful number, since it uses less digits than its factorization.

372405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117.

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 372405 is about 610.2499487915. The cubic root of 372405 is about 71.9457538933.

Adding to 372405 its reverse (504273), we get a palindrome (876678).

It can be divided in two parts, 372 and 405, that added together give a palindrome (777).

The spelling of 372405 in words is "three hundred seventy-two thousand, four hundred five".