82801872 has 40 divisors (see below), whose sum is σ = 237673280. Its totient is φ = 27600480.

The previous prime is 82801871. The next prime is 82801913. The reversal of 82801872 is 27810828.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82801871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95404 + ... + 96267.

It is an arithmetic number, because the mean of its divisors is an integer number (5941832).

Almost surely, 2^82801872 is an apocalyptic number.

It is an amenable number.

82801872 is an abundant number, since it is smaller than the sum of its proper divisors (154871408).

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

82801872 is a wasteful number, since it uses less digits than its factorization.

82801872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191688 (or 191676 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 82801872 is about 9099.5533956343. The cubic root of 82801872 is about 435.8597029168.

The spelling of 82801872 in words is "eighty-two million, eight hundred one thousand, eight hundred seventy-two".