372420 has 36 divisors (see below), whose sum is σ = 1130220. Its totient is φ = 99264.

The previous prime is 372413. The next prime is 372443. The reversal of 372420 is 24273.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 93636 + 278784 = 306^2 + 528^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 372393 and 372402.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 372420.

It is an unprimeable number.

372420 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 855 + ... + 1214.

It is an arithmetic number, because the mean of its divisors is an integer number (31395).

2³⁷²⁴²⁰ is an apocalyptic number.

372420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

372420 is an abundant number, since it is smaller than the sum of its proper divisors (757800).

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

372420 is a wasteful number, since it uses less digits than its factorization.

372420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 372420 is about 610.2622387138. The cubic root of 372420 is about 71.9467198416.

Adding to 372420 its reverse (24273), we get a palindrome (396693).

The spelling of 372420 in words is "three hundred seventy-two thousand, four hundred twenty", and thus it is an iban number.