37992 has 16 divisors (see below), whose sum is σ = 95040. Its totient is φ = 12656.

The previous prime is 37991. The next prime is 37993. The reversal of 37992 is 29973.

It is an interprime number because it is at equal distance from previous prime (37991) and next prime (37993).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (37991) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 768 + ... + 815.

It is an arithmetic number, because the mean of its divisors is an integer number (5940).

2³⁷⁹⁹² is an apocalyptic number.

It is an amenable number.

37992 is an abundant number, since it is smaller than the sum of its proper divisors (57048).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47520).

37992 is a wasteful number, since it uses less digits than its factorization.

37992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1588 counting only the distinct ones).

The product of its digits is 3402, while the sum is 30.

The square root of 37992 is about 194.9153662490. The cubic root of 37992 is about 33.6173946214.

The spelling of 37992 in words is "thirty-seven thousand, nine hundred ninety-two".