372408 has 32 divisors (see below), whose sum is σ = 950400. Its totient is φ = 121568.

The previous prime is 372401. The next prime is 372409. The reversal of 372408 is 804273.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1285 + ... + 1547.

It is an arithmetic number, because the mean of its divisors is an integer number (29700).

372408 is a Friedman number, since it can be written as 72^3-840, using all its digits and the basic arithmetic operations.

2³⁷²⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 372408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475200).

372408 is an abundant number, since it is smaller than the sum of its proper divisors (577992).

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

372408 is a wasteful number, since it uses less digits than its factorization.

372408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 372408 is about 610.2524067957. The cubic root of 372408 is about 71.9459470851.

It can be divided in two parts, 372 and 408, that added together give a triangular number (780 = T₃₉).

The spelling of 372408 in words is "three hundred seventy-two thousand, four hundred eight".