72578388081 has 32 divisors (see below), whose sum is σ = 99224985600. Its totient is φ = 47167384320.

The previous prime is 72578388061. The next prime is 72578388119. The reversal of 72578388081 is 18088387527.

It is not a de Polignac number, because 72578388081 - 2⁹ = 72578387569 is a prime.

It is a super-2 number, since 2×72578388081² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72578388011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69853560 + ... + 69854598.

It is an arithmetic number, because the mean of its divisors is an integer number (3100780800).

Almost surely, 2^72578388081 is an apocalyptic number.

It is an amenable number.

72578388081 is a deficient number, since it is larger than the sum of its proper divisors (26646597519).

72578388081 is a wasteful number, since it uses less digits than its factorization.

72578388081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589.

The product of its (nonzero) digits is 6021120, while the sum is 57.

The spelling of 72578388081 in words is "seventy-two billion, five hundred seventy-eight million, three hundred eighty-eight thousand, eighty-one".