72257771001 has 64 divisors (see below), whose sum is σ = 112079278080. Its totient is φ = 41030115840.

The previous prime is 72257770999. The next prime is 72257771011. The reversal of 72257771001 is 10017775227.

It is not a de Polignac number, because 72257771001 - 2¹ = 72257770999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (72257771011) 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 63 ways as a sum of consecutive naturals, for example, 7343581 + ... + 7353413.

It is an arithmetic number, because the mean of its divisors is an integer number (1751238720).

Almost surely, 2^72257771001 is an apocalyptic number.

It is an amenable number.

72257771001 is a deficient number, since it is larger than the sum of its proper divisors (39821507079).

72257771001 is a wasteful number, since it uses less digits than its factorization.

72257771001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10126.

The product of its (nonzero) digits is 48020, while the sum is 39.

The spelling of 72257771001 in words is "seventy-two billion, two hundred fifty-seven million, seven hundred seventy-one thousand, one".