72510240 has 192 divisors, whose sum is σ = 257789952. Its totient is φ = 16972800.

The previous prime is 72510173. The next prime is 72510257. The reversal of 72510240 is 4201527.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163459 + ... + 163901.

It is an arithmetic number, because the mean of its divisors is an integer number (1342656).

Almost surely, 2^72510240 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 72510240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128894976).

72510240 is an abundant number, since it is smaller than the sum of its proper divisors (185279712).

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

72510240 is a wasteful number, since it uses less digits than its factorization.

72510240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 72510240 is about 8515.2944752369. The cubic root of 72510240 is about 416.9971763405.

Adding to 72510240 its reverse (4201527), we get a palindrome (76711767).

The spelling of 72510240 in words is "seventy-two million, five hundred ten thousand, two hundred forty".