37492 has 24 divisors (see below), whose sum is σ = 81536. Its totient is φ = 14688.

The previous prime is 37489. The next prime is 37493. The reversal of 37492 is 29473.

It is a nialpdrome in base 14.

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 37492.

It is not an unprimeable number, because it can be changed into a prime (37493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 313 + ... + 415.

2³⁷⁴⁹² 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 37492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40768).

37492 is an abundant number, since it is smaller than the sum of its proper divisors (44044).

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

37492 is a wasteful number, since it uses less digits than its factorization.

37492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 125 counting only the distinct ones).

The product of its digits is 1512, while the sum is 25.

The square root of 37492 is about 193.6285102974. The cubic root of 37492 is about 33.4692671288.

It can be divided in two parts, 37 and 492, that added together give a square (529 = 23²).

The spelling of 37492 in words is "thirty-seven thousand, four hundred ninety-two".