72083823261 has 32 divisors (see below), whose sum is σ = 99308229120. Its totient is φ = 46485004800.

The previous prime is 72083823239. The next prime is 72083823289. The reversal of 72083823261 is 16232838027.

It is not a de Polignac number, because 72083823261 - 2²³ = 72075434653 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72083803261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9555151 + ... + 9562691.

It is an arithmetic number, because the mean of its divisors is an integer number (3103382160).

Almost surely, 2^72083823261 is an apocalyptic number.

It is an amenable number.

72083823261 is a deficient number, since it is larger than the sum of its proper divisors (27224405859).

72083823261 is a wasteful number, since it uses less digits than its factorization.

72083823261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8437.

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 72083823261 in words is "seventy-two billion, eighty-three million, eight hundred twenty-three thousand, two hundred sixty-one".