372120 has 64 divisors (see below), whose sum is σ = 1278720. Its totient is φ = 84864.

The previous prime is 372107. The next prime is 372121. The reversal of 372120 is 21273.

372120 = T₃₀₁ + T₃₀₂ + ... + T₃₀₈.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 372120.

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 372120.

It is not an unprimeable number, because it can be changed into a prime (372121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 619 + ... + 1061.

It is an arithmetic number, because the mean of its divisors is an integer number (19980).

2³⁷²¹²⁰ is an apocalyptic number.

372120 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 372120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639360).

372120 is an abundant number, since it is smaller than the sum of its proper divisors (906600).

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

372120 is a wasteful number, since it uses less digits than its factorization.

372120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 372120 is about 610.0163932223. The cubic root of 372120 is about 71.9273959472.

Adding to 372120 its reverse (21273), we get a palindrome (393393).

It can be divided in two parts, 3721 and 20, that added together give a triangular number (3741 = T₈₆).

The spelling of 372120 in words is "three hundred seventy-two thousand, one hundred twenty", and thus it is an iban number.