72744560 has 40 divisors (see below), whose sum is σ = 193294176. Its totient is φ = 24940800.

The previous prime is 72744533. The next prime is 72744577. The reversal of 72744560 is 6544727.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 72744560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64391 + ... + 65510.

Almost surely, 2^72744560 is an apocalyptic number.

72744560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72744560 is an abundant number, since it is smaller than the sum of its proper divisors (120549616).

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

72744560 is a wasteful number, since it uses less digits than its factorization.

72744560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129921 (or 129915 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 35.

The square root of 72744560 is about 8529.0421502066. The cubic root of 72744560 is about 417.4458748724.

The spelling of 72744560 in words is "seventy-two million, seven hundred forty-four thousand, five hundred sixty".