72416175722761 has 64 divisors (see below), whose sum is σ = 84935301857280. Its totient is φ = 61160289442560.

The previous prime is 72416175722747. The next prime is 72416175722771. The reversal of 72416175722761 is 16722757161427.

It is not a de Polignac number, because 72416175722761 - 2²⁹ = 72415638851849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72416175722696 and 72416175722705.

It is not an unprimeable number, because it can be changed into a prime (72416175722771) 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, 808144386 + ... + 808233988.

It is an arithmetic number, because the mean of its divisors is an integer number (1327114091520).

Almost surely, 2^{72416175722761} is an apocalyptic number.

It is an amenable number.

72416175722761 is a deficient number, since it is larger than the sum of its proper divisors (12519126134519).

72416175722761 is a wasteful number, since it uses less digits than its factorization.

72416175722761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90326.

The product of its digits is 13829760, while the sum is 58.

The spelling of 72416175722761 in words is "seventy-two trillion, four hundred sixteen billion, one hundred seventy-five million, seven hundred twenty-two thousand, seven hundred sixty-one".