72726784 has 81 divisors (see below), whose sum is σ = 161122899. Its totient is φ = 32747520.

The previous prime is 72726781. The next prime is 72726821. The reversal of 72726784 is 48762727.

The square root of 72726784 is 8528.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 48441600 + 24285184 = 6960^2 + 4928^2 .

It is a super-2 number, since 2×72726784² = 10578370221965312, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (263424) is a multiple of the sum of its prime divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 72726784.

It is not an unprimeable number, because it can be changed into a prime (72726781) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1773804 + ... + 1773844.

Almost surely, 2^72726784 is an apocalyptic number.

72726784 is the 8528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72726784

72726784 is an abundant number, since it is smaller than the sum of its proper divisors (88396115).

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

72726784 is an equidigital number, since it uses as much as digits as its factorization.

72726784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 56 counting only the distinct ones).

The product of its digits is 263424, while the sum is 43.

The cubic root of 72726784 is about 417.4118694779.

The spelling of 72726784 in words is "seventy-two million, seven hundred twenty-six thousand, seven hundred eighty-four".