72986080 has 48 divisors (see below), whose sum is σ = 173093760. Its totient is φ = 29082112.

The previous prime is 72986077. The next prime is 72986101. The reversal of 72986080 is 8068927.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 50001 + ... + 51439.

It is an arithmetic number, because the mean of its divisors is an integer number (3606120).

Almost surely, 2^72986080 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 72986080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86546880).

72986080 is an abundant number, since it is smaller than the sum of its proper divisors (100107680).

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

72986080 is a wasteful number, since it uses less digits than its factorization.

72986080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 72986080 is about 8543.1891000961. The cubic root of 72986080 is about 417.9073533825.

The spelling of 72986080 in words is "seventy-two million, nine hundred eighty-six thousand, eighty".