72097560 has 128 divisors (see below), whose sum is σ = 242193600. Its totient is φ = 19077120.

The previous prime is 72097507. The next prime is 72097573. The reversal of 72097560 is 6579027.

72097560 is a `hidden beast` number, since 7 + 2 + 0 + 97 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

72097560 is a modest number, since divided by 97560 gives 720 as remainder.

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 31 ways as a sum of consecutive naturals, for example, 260142 + ... + 260418.

Almost surely, 2^72097560 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 72097560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121096800).

72097560 is an abundant number, since it is smaller than the sum of its proper divisors (170096040).

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

72097560 is a wasteful number, since it uses less digits than its factorization.

72097560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 72097560 is about 8491.0282062893. The cubic root of 72097560 is about 416.2045807110.

The spelling of 72097560 in words is "seventy-two million, ninety-seven thousand, five hundred sixty".