72643560 has 96 divisors (see below), whose sum is σ = 239591520. Its totient is φ = 17607040.

The previous prime is 72643559. The next prime is 72643607. The reversal of 72643560 is 6534627.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12019 + ... + 17021.

It is an arithmetic number, because the mean of its divisors is an integer number (2495745).

Almost surely, 2^72643560 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 72643560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119795760).

72643560 is an abundant number, since it is smaller than the sum of its proper divisors (166947960).

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

72643560 is a wasteful number, since it uses less digits than its factorization.

72643560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5039 (or 5024 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 72643560 is about 8523.1191473544. The cubic root of 72643560 is about 417.2525886606.

The spelling of 72643560 in words is "seventy-two million, six hundred forty-three thousand, five hundred sixty".