37772 has 24 divisors (see below), whose sum is σ = 80640. Its totient is φ = 15120.

The previous prime is 37747. The next prime is 37781. The reversal of 37772 is 27773.

It is a nialpdrome in base 14.

It is an unprimeable number.

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, 497 + ... + 567.

It is an arithmetic number, because the mean of its divisors is an integer number (3360).

2³⁷⁷⁷² 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 37772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40320).

37772 is an abundant number, since it is smaller than the sum of its proper divisors (42868).

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

37772 is a wasteful number, since it uses less digits than its factorization.

37772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 99 counting only the distinct ones).

The product of its digits is 2058, while the sum is 26.

The square root of 37772 is about 194.3501993825. The cubic root of 37772 is about 33.5523796308.

Subtracting from 37772 its reverse (27773), we obtain a palindrome (9999).

The spelling of 37772 in words is "thirty-seven thousand, seven hundred seventy-two".