72823340164 has 27 divisors (see below), whose sum is σ = 135395396143. Its totient is φ = 34265489408.

The previous prime is 72823340141. The next prime is 72823340173. The reversal of 72823340164 is 46104332827.

It is a happy number.

The square root of 72823340164 is 269858.

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 50966674564 + 21856665600 = 225758^2 + 147840^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9171204 + ... + 9179140.

Almost surely, 2^72823340164 is an apocalyptic number.

72823340164 is the 269858-th square number.

It is an amenable number.

72823340164 is a deficient number, since it is larger than the sum of its proper divisors (62572055979).

72823340164 is an frugal number, since it uses more digits than its factorization.

72823340164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15912 (or 7956 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 72823340164 in words is "seventy-two billion, eight hundred twenty-three million, three hundred forty thousand, one hundred sixty-four".