72886280 has 64 divisors (see below), whose sum is σ = 178632000. Its totient is φ = 26659584.

The previous prime is 72886273. The next prime is 72886321. The reversal of 72886280 is 8268827.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20387 + ... + 23693.

It is an arithmetic number, because the mean of its divisors is an integer number (2791125).

Almost surely, 2^72886280 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 72886280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89316000).

72886280 is an abundant number, since it is smaller than the sum of its proper divisors (105745720).

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

72886280 is a wasteful number, since it uses less digits than its factorization.

72886280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366 (or 3362 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 41.

The square root of 72886280 is about 8537.3461918795. The cubic root of 72886280 is about 417.7167865501.

The spelling of 72886280 in words is "seventy-two million, eight hundred eighty-six thousand, two hundred eighty".