38072 has 8 divisors (see below), whose sum is σ = 71400. Its totient is φ = 19032.

The previous prime is 38069. The next prime is 38083. The reversal of 38072 is 27083.

It is a tau number, because it is divible by the number of its divisors (8).

It is a nialpdrome in base 15.

It is a congruent number.

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 as a sum of consecutive naturals, namely, 2372 + ... + 2387.

It is an arithmetic number, because the mean of its divisors is an integer number (8925).

2³⁸⁰⁷² is an apocalyptic number.

It is an amenable number.

38072 is a deficient number, since it is larger than the sum of its proper divisors (33328).

38072 is a wasteful number, since it uses less digits than its factorization.

38072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4765 (or 4761 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 38072 is about 195.1204756042. The cubic root of 38072 is about 33.6409742003.

The spelling of 38072 in words is "thirty-eight thousand, seventy-two".