72786320 has 20 divisors (see below), whose sum is σ = 169228380. Its totient is φ = 29114496.

The previous prime is 72786293. The next prime is 72786341. The reversal of 72786320 is 2368727.

It can be written as a sum of positive squares in 2 ways, for example, as 28217344 + 44568976 = 5312^2 + 6676^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 454835 + ... + 454994.

It is an arithmetic number, because the mean of its divisors is an integer number (8461419).

Almost surely, 2^72786320 is an apocalyptic number.

It is an amenable number.

72786320 is an abundant number, since it is smaller than the sum of its proper divisors (96442060).

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

72786320 is a wasteful number, since it uses less digits than its factorization.

72786320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909842 (or 909836 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 72786320 is about 8531.4899050518. The cubic root of 72786320 is about 417.5257397448.

The spelling of 72786320 in words is "seventy-two million, seven hundred eighty-six thousand, three hundred twenty".