72638 has 4 divisors (see below), whose sum is σ = 108960. Its totient is φ = 36318.

The previous prime is 72623. The next prime is 72643. The reversal of 72638 is 83627.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 83627 = 241 ⋅347.

It is a plaindrome in base 16.

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 as a sum of consecutive naturals, namely, 18158 + ... + 18161.

It is an arithmetic number, because the mean of its divisors is an integer number (27240).

2⁷²⁶³⁸ is an apocalyptic number.

72638 is a deficient number, since it is larger than the sum of its proper divisors (36322).

72638 is a wasteful number, since it uses less digits than its factorization.

72638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36321.

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

The square root of 72638 is about 269.5143780951. The cubic root of 72638 is about 41.7241943149.

The spelling of 72638 in words is "seventy-two thousand, six hundred thirty-eight".