72638637 has 16 divisors (see below), whose sum is σ = 103099392. Its totient is φ = 45332480.

The previous prime is 72638597. The next prime is 72638639. The reversal of 72638637 is 73683627.

It is a cyclic number.

It is not a de Polignac number, because 72638637 - 2¹⁶ = 72573101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72638639) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6013 + ... + 13469.

It is an arithmetic number, because the mean of its divisors is an integer number (6443712).

Almost surely, 2^72638637 is an apocalyptic number.

It is an amenable number.

72638637 is a deficient number, since it is larger than the sum of its proper divisors (30460755).

72638637 is a wasteful number, since it uses less digits than its factorization.

72638637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7668.

The product of its digits is 254016, while the sum is 42.

The square root of 72638637 is about 8522.8303397404. The cubic root of 72638637 is about 417.2431628152.

The spelling of 72638637 in words is "seventy-two million, six hundred thirty-eight thousand, six hundred thirty-seven".