72638314 has 32 divisors (see below), whose sum is σ = 132503040. Its totient is φ = 29154048.

The previous prime is 72638299. The next prime is 72638323. The reversal of 72638314 is 41383627.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 72638314.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56244 + ... + 57520.

It is an arithmetic number, because the mean of its divisors is an integer number (4140720).

Almost surely, 2^72638314 is an apocalyptic number.

72638314 is a deficient number, since it is larger than the sum of its proper divisors (59864726).

72638314 is a wasteful number, since it uses less digits than its factorization.

72638314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542.

The product of its digits is 24192, while the sum is 34.

The square root of 72638314 is about 8522.8113906152. The cubic root of 72638314 is about 417.2425443668.

The spelling of 72638314 in words is "seventy-two million, six hundred thirty-eight thousand, three hundred fourteen".