72240960 has 112 divisors (see below), whose sum is σ = 250252992. Its totient is φ = 17510400.

The previous prime is 72240947. The next prime is 72240979. The reversal of 72240960 is 6904227.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7140 + ... + 13980.

Almost surely, 2^72240960 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 72240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125126496).

72240960 is an abundant number, since it is smaller than the sum of its proper divisors (178012032).

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

72240960 is a wasteful number, since it uses less digits than its factorization.

72240960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6872 (or 6862 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 72240960 is about 8499.4682186593. The cubic root of 72240960 is about 416.4803376658.

The spelling of 72240960 in words is "seventy-two million, two hundred forty thousand, nine hundred sixty".