38772 has 24 divisors (see below), whose sum is σ = 100800. Its totient is φ = 12888.

The previous prime is 38767. The next prime is 38783. The reversal of 38772 is 27783.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

38772 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 7 ways as a sum of consecutive naturals, for example, 72 + ... + 287.

It is an arithmetic number, because the mean of its divisors is an integer number (4200).

2³⁸⁷⁷² is an apocalyptic number.

It is an amenable number.

38772 is an abundant number, since it is smaller than the sum of its proper divisors (62028).

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 (50400).

38772 is a wasteful number, since it uses less digits than its factorization.

38772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 364 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 38772 is about 196.9060689771. The cubic root of 38772 is about 33.8459000829.

The spelling of 38772 in words is "thirty-eight thousand, seven hundred seventy-two".