72766080 has 128 divisors (see below), whose sum is σ = 257774400. Its totient is φ = 19399680.

The previous prime is 72766063. The next prime is 72766081. The reversal of 72766080 is 8066727.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72766081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15175 + ... + 19385.

Almost surely, 2^72766080 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 72766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128887200).

72766080 is an abundant number, since it is smaller than the sum of its proper divisors (185008320).

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

72766080 is a wasteful number, since it uses less digits than its factorization.

72766080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4239 (or 4221 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 72766080 is about 8530.3036288282. The cubic root of 72766080 is about 417.4870351072.

The spelling of 72766080 in words is "seventy-two million, seven hundred sixty-six thousand, eighty".