72743560 has 32 divisors (see below), whose sum is σ = 166766040. Its totient is φ = 28547584.

The previous prime is 72743557. The next prime is 72743563. The reversal of 72743560 is 6534727.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72743557) and next prime (72743563).

It can be written as a sum of positive squares in 4 ways, for example, as 58890276 + 13853284 = 7674^2 + 3722^2 .

It is not an unprimeable number, because it can be changed into a prime (72743563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15037 + ... + 19276.

Almost surely, 2^72743560 is an apocalyptic number.

It is an amenable number.

72743560 is an abundant number, since it is smaller than the sum of its proper divisors (94022480).

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

72743560 is a wasteful number, since it uses less digits than its factorization.

72743560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34377 (or 34373 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 34.

The square root of 72743560 is about 8528.9835267750. The cubic root of 72743560 is about 417.4439620247.

The spelling of 72743560 in words is "seventy-two million, seven hundred forty-three thousand, five hundred sixty".