72601004257 has 16 divisors (see below), whose sum is σ = 74734627968. Its totient is φ = 70496524800.

The previous prime is 72601004251. The next prime is 72601004261. The reversal of 72601004257 is 75240010627.

It is a cyclic number.

It is not a de Polignac number, because 72601004257 - 2¹⁹ = 72600479969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72601004251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12405382 + ... + 12411232.

It is an arithmetic number, because the mean of its divisors is an integer number (4670914248).

Almost surely, 2^72601004257 is an apocalyptic number.

It is an amenable number.

72601004257 is a deficient number, since it is larger than the sum of its proper divisors (2133623711).

72601004257 is a wasteful number, since it uses less digits than its factorization.

72601004257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8280.

The product of its (nonzero) digits is 23520, while the sum is 34.

The spelling of 72601004257 in words is "seventy-two billion, six hundred one million, four thousand, two hundred fifty-seven".