72845280 has 72 divisors (see below), whose sum is σ = 248589432. Its totient is φ = 19425024.

The previous prime is 72845273. The next prime is 72845291. The reversal of 72845280 is 8254827.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

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 11 ways as a sum of consecutive naturals, for example, 23854 + ... + 26733.

It is an arithmetic number, because the mean of its divisors is an integer number (3452631).

Almost surely, 2^72845280 is an apocalyptic number.

It is an amenable number.

72845280 is an abundant number, since it is smaller than the sum of its proper divisors (175744152).

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

72845280 is a wasteful number, since it uses less digits than its factorization.

72845280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50608 (or 50597 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 72845280 is about 8534.9446395393. The cubic root of 72845280 is about 417.6384471582.

The spelling of 72845280 in words is "seventy-two million, eight hundred forty-five thousand, two hundred eighty".