72742071601 has 8 divisors (see below), whose sum is σ = 74119674024. Its totient is φ = 71364658560.

The previous prime is 72742071593. The next prime is 72742071659. The reversal of 72742071601 is 10617024727.

It can be written as a sum of positive squares in 4 ways, for example, as 29259813025 + 43482258576 = 171055^2 + 208524^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72742071601 - 2³ = 72742071593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72742051601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 909315 + ... + 986071.

It is an arithmetic number, because the mean of its divisors is an integer number (9264959253).

Almost surely, 2^72742071601 is an apocalyptic number.

It is an amenable number.

72742071601 is a deficient number, since it is larger than the sum of its proper divisors (1377602423).

72742071601 is a wasteful number, since it uses less digits than its factorization.

72742071601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94691.

The product of its (nonzero) digits is 32928, while the sum is 37.

The spelling of 72742071601 in words is "seventy-two billion, seven hundred forty-two million, seventy-one thousand, six hundred one".