72884756 has 30 divisors (see below), whose sum is σ = 148817130. Its totient is φ = 31232208.

The previous prime is 72884737. The next prime is 72884759. The reversal of 72884756 is 65748827.

It can be written as a sum of positive squares in only one way, i.e., 40576900 + 32307856 = 6370^2 + 5684^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 72884756.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72884759) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5810 + ... + 13398.

It is an arithmetic number, because the mean of its divisors is an integer number (4960571).

Almost surely, 2^72884756 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72884756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74408565).

72884756 is an abundant number, since it is smaller than the sum of its proper divisors (75932374).

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

72884756 is an equidigital number, since it uses as much as digits as its factorization.

72884756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7621 (or 7598 counting only the distinct ones).

The product of its digits is 752640, while the sum is 47.

The square root of 72884756 is about 8537.2569365107. The cubic root of 72884756 is about 417.7138751434.

The spelling of 72884756 in words is "seventy-two million, eight hundred eighty-four thousand, seven hundred fifty-six".