72506253 has 16 divisors (see below), whose sum is σ = 98141760. Its totient is φ = 47608704.

The previous prime is 72506251. The next prime is 72506257. The reversal of 72506253 is 35260527.

It is not a de Polignac number, because 72506253 - 2¹ = 72506251 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72506253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72506251) 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 15 ways as a sum of consecutive naturals, for example, 117975 + ... + 118587.

It is an arithmetic number, because the mean of its divisors is an integer number (6133860).

Almost surely, 2^72506253 is an apocalyptic number.

It is an amenable number.

72506253 is a deficient number, since it is larger than the sum of its proper divisors (25635507).

72506253 is a wasteful number, since it uses less digits than its factorization.

72506253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148.

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 72506253 is about 8515.0603638495. The cubic root of 72506253 is about 416.9895332903.

The spelling of 72506253 in words is "seventy-two million, five hundred six thousand, two hundred fifty-three".