72291614641 has 9 divisors (see below), whose sum is σ = 73404989931. Its totient is φ = 71194889832.

The previous prime is 72291614609. The next prime is 72291614687. The reversal of 72291614641 is 14641619227.

The square root of 72291614641 is 268871.

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

It can be written as a sum of positive squares in only one way, i.e., 60626750625 + 11664864016 = 246225^2 + 108004^2 .

It is not a de Polignac number, because 72291614641 - 2⁵ = 72291614609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72291611641) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18012351 + ... + 18016363.

Almost surely, 2^72291614641 is an apocalyptic number.

72291614641 is the 268871-st square number.

72291614641 is the 134436-th centered octagonal number.

It is an amenable number.

72291614641 is a deficient number, since it is larger than the sum of its proper divisors (1113375290).

72291614641 is an frugal number, since it uses more digits than its factorization.

72291614641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8160 (or 4080 counting only the distinct ones).

The product of its digits is 145152, while the sum is 43.

The spelling of 72291614641 in words is "seventy-two billion, two hundred ninety-one million, six hundred fourteen thousand, six hundred forty-one".