72272653 has 8 divisors (see below), whose sum is σ = 73353528. Its totient is φ = 71199744.

The previous prime is 72272623. The next prime is 72272657. The reversal of 72272653 is 35627227.

It can be written as a sum of positive squares in 4 ways, for example, as 311364 + 71961289 = 558^2 + 8483^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72272653 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72272657) 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 7 ways as a sum of consecutive naturals, for example, 17701 + ... + 21397.

It is an arithmetic number, because the mean of its divisors is an integer number (9169191).

Almost surely, 2^72272653 is an apocalyptic number.

It is an amenable number.

72272653 is a deficient number, since it is larger than the sum of its proper divisors (1080875).

72272653 is a wasteful number, since it uses less digits than its factorization.

72272653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3983.

The product of its digits is 35280, while the sum is 34.

The square root of 72272653 is about 8501.3324249790. The cubic root of 72272653 is about 416.5412337814.

The spelling of 72272653 in words is "seventy-two million, two hundred seventy-two thousand, six hundred fifty-three".