72416175417457 has 16 divisors (see below), whose sum is σ = 73158545250000. Its totient is φ = 71675654529024.

The previous prime is 72416175417449. The next prime is 72416175417463. The reversal of 72416175417457 is 75471457161427.

It can be written as a sum of positive squares in 8 ways, for example, as 12302142368481 + 60114033048976 = 3507441^2 + 7753324^2 .

It is a cyclic number.

It is not a de Polignac number, because 72416175417457 - 2³ = 72416175417449 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72416175417395 and 72416175417404.

It is not an unprimeable number, because it can be changed into a prime (72416175417427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241053019 + ... + 241353247.

It is an arithmetic number, because the mean of its divisors is an integer number (4572409078125).

Almost surely, 2^{72416175417457} is an apocalyptic number.

It is an amenable number.

72416175417457 is a deficient number, since it is larger than the sum of its proper divisors (742369832543).

72416175417457 is a wasteful number, since it uses less digits than its factorization.

72416175417457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303300.

The product of its digits is 46099200, while the sum is 61.

The spelling of 72416175417457 in words is "seventy-two trillion, four hundred sixteen billion, one hundred seventy-five million, four hundred seventeen thousand, four hundred fifty-seven".