72701724513 has 64 divisors (see below), whose sum is σ = 109796601600. Its totient is φ = 42408038400.

The previous prime is 72701724479. The next prime is 72701724523. The reversal of 72701724513 is 31542710727.

It is not a de Polignac number, because 72701724513 - 2¹⁰ = 72701723489 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72701724523) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31649581 + ... + 31651877.

It is an arithmetic number, because the mean of its divisors is an integer number (1715571900).

Almost surely, 2^72701724513 is an apocalyptic number.

It is an amenable number.

72701724513 is a deficient number, since it is larger than the sum of its proper divisors (37094877087).

72701724513 is a wasteful number, since it uses less digits than its factorization.

72701724513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2658.

The product of its (nonzero) digits is 82320, while the sum is 39.

The spelling of 72701724513 in words is "seventy-two billion, seven hundred one million, seven hundred twenty-four thousand, five hundred thirteen".