72712842 has 32 divisors (see below), whose sum is σ = 155032704. Its totient is φ = 22656000.

The previous prime is 72712837. The next prime is 72712847. The reversal of 72712842 is 24821727.

It is an interprime number because it is at equal distance from previous prime (72712837) and next prime (72712847).

It is a super-3 number, since 3×72712842³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (72712847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13042 + ... + 17762.

It is an arithmetic number, because the mean of its divisors is an integer number (4844772).

Almost surely, 2^72712842 is an apocalyptic number.

72712842 is an abundant number, since it is smaller than the sum of its proper divisors (82319862).

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

72712842 is a wasteful number, since it uses less digits than its factorization.

72712842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4894.

The product of its digits is 12544, while the sum is 33.

The square root of 72712842 is about 8527.1825358673. The cubic root of 72712842 is about 417.3851946277.

The spelling of 72712842 in words is "seventy-two million, seven hundred twelve thousand, eight hundred forty-two".