72857088001 has 16 divisors (see below), whose sum is σ = 77354720640. Its totient is φ = 68428039680.

The previous prime is 72857087957. The next prime is 72857088011. The reversal of 72857088001 is 10088075827.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 72857088001 - 2⁹ = 72857087489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72857088011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1128916 + ... + 1191706.

It is an arithmetic number, because the mean of its divisors is an integer number (4834670040).

Almost surely, 2^72857088001 is an apocalyptic number.

It is an amenable number.

72857088001 is a deficient number, since it is larger than the sum of its proper divisors (4497632639).

72857088001 is a wasteful number, since it uses less digits than its factorization.

72857088001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63336.

The product of its (nonzero) digits is 250880, while the sum is 46.

The spelling of 72857088001 in words is "seventy-two billion, eight hundred fifty-seven million, eighty-eight thousand, one".