72510701 has 16 divisors (see below), whose sum is σ = 76734000. Its totient is φ = 68425728.

The previous prime is 72510689. The next prime is 72510721. The reversal of 72510701 is 10701527.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5476 + 72505225 = 74^2 + 8515^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72510701 is a prime.

It is a super-2 number, since 2×72510701² = 10515603519022802, which contains 22 as substring.

72510701 is a modest number, since divided by 10701 gives 725 as remainder.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72510721) 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, 419051 + ... + 419223.

It is an arithmetic number, because the mean of its divisors is an integer number (4795875).

Almost surely, 2^72510701 is an apocalyptic number.

It is an amenable number.

72510701 is a deficient number, since it is larger than the sum of its proper divisors (4223299).

72510701 is a wasteful number, since it uses less digits than its factorization.

72510701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448.

The product of its (nonzero) digits is 490, while the sum is 23.

The square root of 72510701 is about 8515.3215441344. The cubic root of 72510701 is about 416.9980600561.

The spelling of 72510701 in words is "seventy-two million, five hundred ten thousand, seven hundred one".