72510464 has 66 divisors (see below), whose sum is σ = 157332420. Its totient is φ = 33386496.

The previous prime is 72510443. The next prime is 72510481. The reversal of 72510464 is 46401527.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 172847 + ... + 173265.

Almost surely, 2^72510464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72510464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78666210).

72510464 is an abundant number, since it is smaller than the sum of its proper divisors (84821956).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72510464 is a wasteful number, since it uses less digits than its factorization.

72510464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 72510464 is about 8515.3076280308. The cubic root of 72510464 is about 416.9976057386.

The spelling of 72510464 in words is "seventy-two million, five hundred ten thousand, four hundred sixty-four".