372672 has 42 divisors (see below), whose sum is σ = 1069848. Its totient is φ = 124032.

The previous prime is 372667. The next prime is 372677. The reversal of 372672 is 276273.

It is an interprime number because it is at equal distance from previous prime (372667) and next prime (372677).

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 372672.

It is not an unprimeable number, because it can be changed into a prime (372677) by changing a digit.

372672 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 5 ways as a sum of consecutive naturals, for example, 253 + ... + 899.

2³⁷²⁶⁷² is an apocalyptic number.

372672 is a gapful number since it is divisible by the number (32) 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 372672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534924).

372672 is an abundant number, since it is smaller than the sum of its proper divisors (697176).

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

372672 is a wasteful number, since it uses less digits than its factorization.

372672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 652 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 372672 is about 610.4686724149. The cubic root of 372672 is about 71.9629438946.

The spelling of 372672 in words is "three hundred seventy-two thousand, six hundred seventy-two".