72502080 has 112 divisors (see below), whose sum is σ = 263103360. Its totient is φ = 16570368.

The previous prime is 72502069. The next prime is 72502097. The reversal of 72502080 is 8020527.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×72502080³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 72502080.

It is a congruent number.

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, 1326 + ... + 12114.

Almost surely, 2^72502080 is an apocalyptic number.

72502080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72502080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131551680).

72502080 is an abundant number, since it is smaller than the sum of its proper divisors (190601280).

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

72502080 is a wasteful number, since it uses less digits than its factorization.

72502080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10816 (or 10806 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 72502080 is about 8514.8153238928. The cubic root of 72502080 is about 416.9815333793.

The spelling of 72502080 in words is "seventy-two million, five hundred two thousand, eighty".