72712794 has 64 divisors (see below), whose sum is σ = 187195392. Its totient is φ = 18273600.

The previous prime is 72712781. The next prime is 72712799. The reversal of 72712794 is 49721727.

It is a super-3 number, since 3×72712794³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (72712799) 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 31 ways as a sum of consecutive naturals, for example, 11784 + ... + 16860.

It is an arithmetic number, because the mean of its divisors is an integer number (2924928).

Almost surely, 2^72712794 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72712794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93597696).

72712794 is an abundant number, since it is smaller than the sum of its proper divisors (114482598).

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

72712794 is a wasteful number, since it uses less digits than its factorization.

72712794 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5131.

The product of its digits is 49392, while the sum is 39.

The square root of 72712794 is about 8527.1797213381. The cubic root of 72712794 is about 417.3851027847.

The spelling of 72712794 in words is "seventy-two million, seven hundred twelve thousand, seven hundred ninety-four".