72653361 has 24 divisors (see below), whose sum is σ = 107059680. Its totient is φ = 43792320.

The previous prime is 72653351. The next prime is 72653387. The reversal of 72653361 is 16335627.

It is a de Polignac number, because none of the positive numbers 2^k-72653361 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72653341) 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 23 ways as a sum of consecutive naturals, for example, 84150 + ... + 85008.

It is an arithmetic number, because the mean of its divisors is an integer number (4460820).

Almost surely, 2^72653361 is an apocalyptic number.

It is an amenable number.

72653361 is a deficient number, since it is larger than the sum of its proper divisors (34406319).

72653361 is a wasteful number, since it uses less digits than its factorization.

72653361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1106 counting only the distinct ones).

The product of its digits is 22680, while the sum is 33.

The square root of 72653361 is about 8523.6940935254. The cubic root of 72653361 is about 417.2713529241.

Adding to 72653361 its reverse (16335627), we get a palindrome (88988988).

The spelling of 72653361 in words is "seventy-two million, six hundred fifty-three thousand, three hundred sixty-one".