72646164776577 has 8 divisors (see below), whose sum is σ = 110698917754816. Its totient is φ = 41512094158032.

The previous prime is 72646164776533. The next prime is 72646164776609. The reversal of 72646164776577 is 77567746164627.

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

It is not a de Polignac number, because 72646164776577 - 2⁸ = 72646164776321 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72646164776499 and 72646164776508.

It is not an unprimeable number, because it can be changed into a prime (72646164776177) 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, 1729670589898 + ... + 1729670589939.

It is an arithmetic number, because the mean of its divisors is an integer number (13837364719352).

Almost surely, 2^{72646164776577} is an apocalyptic number.

It is an amenable number.

72646164776577 is a deficient number, since it is larger than the sum of its proper divisors (38052752978239).

72646164776577 is a wasteful number, since it uses less digits than its factorization.

72646164776577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3459341179847.

The product of its digits is 3485099520, while the sum is 75.

The spelling of 72646164776577 in words is "seventy-two trillion, six hundred forty-six billion, one hundred sixty-four million, seven hundred seventy-six thousand, five hundred seventy-seven".