84882072 has 64 divisors (see below), whose sum is σ = 239500800. Its totient is φ = 24832640.

The previous prime is 84882067. The next prime is 84882073. The reversal of 84882072 is 27028848.

It is a super-2 number, since 2×84882072² = 14409932294026368, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 84882072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84882073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2113 + ... + 13199.

It is an arithmetic number, because the mean of its divisors is an integer number (3742200).

Almost surely, 2^84882072 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 84882072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119750400).

84882072 is an abundant number, since it is smaller than the sum of its proper divisors (154618728).

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

84882072 is a wasteful number, since it uses less digits than its factorization.

84882072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11136 (or 11132 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 84882072 is about 9213.1466937198. The cubic root of 84882072 is about 439.4795361155.

The spelling of 84882072 in words is "eighty-four million, eight hundred eighty-two thousand, seventy-two".