72583680 has 160 divisors (see below), whose sum is σ = 250233984. Its totient is φ = 17842176.

The previous prime is 72583669. The next prime is 72583733. The reversal of 72583680 is 8638527.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99477 + ... + 100203.

Almost surely, 2^72583680 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 72583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125116992).

72583680 is an abundant number, since it is smaller than the sum of its proper divisors (177650304).

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

72583680 is a wasteful number, since it uses less digits than its factorization.

72583680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 72583680 is about 8519.6056246754. The cubic root of 72583680 is about 417.1379102077.

The spelling of 72583680 in words is "seventy-two million, five hundred eighty-three thousand, six hundred eighty".