638072 has 16 divisors (see below), whose sum is σ = 1222560. Its totient is φ = 312064.

The previous prime is 638063. The next prime is 638081. The reversal of 638072 is 270836.

It is an interprime number because it is at equal distance from previous prime (638063) and next prime (638081).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 473 + ... + 1224.

It is an arithmetic number, because the mean of its divisors is an integer number (76410).

2⁶³⁸⁰⁷² is an apocalyptic number.

It is an amenable number.

638072 is a deficient number, since it is larger than the sum of its proper divisors (584488).

638072 is a wasteful number, since it uses less digits than its factorization.

638072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 638072 is about 798.7940911149. The cubic root of 638072 is about 86.0907640985.

Subtracting from 638072 its product of nonzero digits (2016), we obtain a cube (636056 = 86³).

Subtracting from 638072 its reverse (270836), we obtain a square (367236 = 606²).

It can be divided in two parts, 63 and 8072, that multiplied together give a triangular number (508536 = T₁₀₀₈).

The spelling of 638072 in words is "six hundred thirty-eight thousand, seventy-two".