72348361454656 has 189 divisors, whose sum is σ = 169610314727511. Its totient is φ = 30530184765696.

The previous prime is 72348361454627. The next prime is 72348361454683. The reversal of 72348361454656 is 65645416384327.

The square root of 72348361454656 is 8505784.

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

It is a Harshad number since it is a multiple of its sum of digits (64).

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 26 ways as a sum of consecutive naturals, for example, 31913700435 + ... + 31913702701.

Almost surely, 2^{72348361454656} is an apocalyptic number.

72348361454656 is the 8505784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72348361454656

72348361454656 is an abundant number, since it is smaller than the sum of its proper divisors (97261953272855).

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

72348361454656 is an frugal number, since it uses more digits than its factorization.

72348361454656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4694 (or 2343 counting only the distinct ones).

The product of its digits is 348364800, while the sum is 64.

72348361454656 divided by its sum of digits (64) gives a square (1130443147729 = 1063223²).

The spelling of 72348361454656 in words is "seventy-two trillion, three hundred forty-eight billion, three hundred sixty-one million, four hundred fifty-four thousand, six hundred fifty-six".