72049946674176 has 165 divisors, whose sum is σ = 215162527249461. Its totient is φ = 24015834021888.

The previous prime is 72049946674093. The next prime is 72049946674271. The reversal of 72049946674176 is 67147664994027.

The square root of 72049946674176 is 8488224.

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

72049946674176 is a `hidden beast` number, since 7 + 2 + 0 + 4 + 99 + 466 + 7 + 4 + 1 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17044347110400 + 55005599563776 = 4128480^2 + 7416576^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

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 14 ways as a sum of consecutive naturals, for example, 2444593776 + ... + 2444623248.

Almost surely, 2^{72049946674176} is an apocalyptic number.

72049946674176 is the 8488224-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72049946674176

72049946674176 is an abundant number, since it is smaller than the sum of its proper divisors (143112580575285).

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

72049946674176 is an frugal number, since it uses more digits than its factorization.

72049946674176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58978 (or 29478 counting only the distinct ones).

The product of its (nonzero) digits is 768144384, while the sum is 72.

The spelling of 72049946674176 in words is "seventy-two trillion, forty-nine billion, nine hundred forty-six million, six hundred seventy-four thousand, one hundred seventy-six".