72738642 has 8 divisors (see below), whose sum is σ = 145477296. Its totient is φ = 24246212.

The previous prime is 72738637. The next prime is 72738649. The reversal of 72738642 is 24683727.

It is a sphenic number, since it is the product of 3 distinct primes.

72738642 is an admirable number.

It is a self number, because there is not a number n which added to its sum of digits gives 72738642.

It is not an unprimeable number, because it can be changed into a prime (72738649) 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, 6061548 + ... + 6061559.

It is an arithmetic number, because the mean of its divisors is an integer number (18184662).

Almost surely, 2^72738642 is an apocalyptic number.

72738642 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

72738642 is a wasteful number, since it uses less digits than its factorization.

72738642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12123112.

The product of its digits is 112896, while the sum is 39.

The square root of 72738642 is about 8528.6952108749. The cubic root of 72738642 is about 417.4345543847.

The spelling of 72738642 in words is "seventy-two million, seven hundred thirty-eight thousand, six hundred forty-two".