72265801 has 8 divisors (see below), whose sum is σ = 73152200. Its totient is φ = 71383680.

The previous prime is 72265783. The next prime is 72265819. The reversal of 72265801 is 10856227.

It is an interprime number because it is at equal distance from previous prime (72265783) and next prime (72265819).

It can be written as a sum of positive squares in 4 ways, for example, as 42889401 + 29376400 = 6549^2 + 5420^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 72265801 - 2⁵ = 72265769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72265841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43771 + ... + 45391.

It is an arithmetic number, because the mean of its divisors is an integer number (9144025).

Almost surely, 2^72265801 is an apocalyptic number.

It is an amenable number.

72265801 is a deficient number, since it is larger than the sum of its proper divisors (886399).

72265801 is a wasteful number, since it uses less digits than its factorization.

72265801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139.

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 72265801 is about 8500.9294197752. The cubic root of 72265801 is about 416.5280696009.

The spelling of 72265801 in words is "seventy-two million, two hundred sixty-five thousand, eight hundred one".