72638740 has 12 divisors (see below), whose sum is σ = 152541396. Its totient is φ = 29055488.

The previous prime is 72638717. The next prime is 72638747. The reversal of 72638740 is 4783627.

It can be written as a sum of positive squares in 2 ways, for example, as 23020804 + 49617936 = 4798^2 + 7044^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 72638740.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72638747) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1815949 + ... + 1815988.

It is an arithmetic number, because the mean of its divisors is an integer number (12711783).

Almost surely, 2^72638740 is an apocalyptic number.

It is an amenable number.

72638740 is an abundant number, since it is smaller than the sum of its proper divisors (79902656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72638740 is a wasteful number, since it uses less digits than its factorization.

72638740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3631946 (or 3631944 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 72638740 is about 8522.8363823319. The cubic root of 72638740 is about 417.2433600290.

The spelling of 72638740 in words is "seventy-two million, six hundred thirty-eight thousand, seven hundred forty".