72510263 has 16 divisors (see below), whose sum is σ = 85264704. Its totient is φ = 60368640.

The previous prime is 72510257. The next prime is 72510359. The reversal of 72510263 is 36201527.

It is a cyclic number.

It is not a de Polignac number, because 72510263 - 2¹⁶ = 72444727 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72510563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90581 + ... + 91377.

It is an arithmetic number, because the mean of its divisors is an integer number (5329044).

Almost surely, 2^72510263 is an apocalyptic number.

72510263 is a deficient number, since it is larger than the sum of its proper divisors (12754441).

72510263 is a wasteful number, since it uses less digits than its factorization.

72510263 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162.

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 72510263 is about 8515.2958257479. The cubic root of 72510263 is about 416.9972204305.

The spelling of 72510263 in words is "seventy-two million, five hundred ten thousand, two hundred sixty-three".