84099072 has 120 divisors (see below), whose sum is σ = 235922400. Its totient is φ = 26607616.

The previous prime is 84099061. The next prime is 84099083. The reversal of 84099072 is 27099048.

It is an interprime number because it is at equal distance from previous prime (84099061) and next prime (84099083).

It is a super-2 number, since 2×84099072² = 14145307822522368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 84099072.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1425379 + ... + 1425437.

It is an arithmetic number, because the mean of its divisors is an integer number (1966020).

Almost surely, 2^84099072 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 84099072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117961200).

84099072 is an abundant number, since it is smaller than the sum of its proper divisors (151823328).

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

84099072 is an equidigital number, since it uses as much as digits as its factorization.

84099072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 84099072 is about 9170.5546179062. The cubic root of 84099072 is about 438.1240240094.

The spelling of 84099072 in words is "eighty-four million, ninety-nine thousand, seventy-two".