72736199216704 has 63 divisors (see below), whose sum is σ = 149488685793811. Its totient is φ = 35113072010240.

The previous prime is 72736199216683. The next prime is 72736199216719. The reversal of 72736199216704 is 40761299163727.

The square root of 72736199216704 is 8528552.

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 29801205066304 + 42934994150400 = 5459048^2 + 6552480^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1978605684 + ... + 1978642444.

Almost surely, 2^{72736199216704} is an apocalyptic number.

72736199216704 is the 8528552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72736199216704

72736199216704 is an abundant number, since it is smaller than the sum of its proper divisors (76752486577107).

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

72736199216704 is an frugal number, since it uses more digits than its factorization.

72736199216704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73592 (or 36792 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 64.

72736199216704 divided by its sum of digits (64) gives a square (1136503112761 = 1066069²).

The spelling of 72736199216704 in words is "seventy-two trillion, seven hundred thirty-six billion, one hundred ninety-nine million, two hundred sixteen thousand, seven hundred four".