84465072 has 80 divisors (see below), whose sum is σ = 248138880. Its totient is φ = 27494208.

The previous prime is 84465067. The next prime is 84465083. The reversal of 84465072 is 27056448.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16303 + ... + 20849.

It is an arithmetic number, because the mean of its divisors is an integer number (3101736).

Almost surely, 2^84465072 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 84465072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124069440).

84465072 is an abundant number, since it is smaller than the sum of its proper divisors (163673808).

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

84465072 is a wasteful number, since it uses less digits than its factorization.

84465072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4607 (or 4595 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 84465072 is about 9190.4881263184. The cubic root of 84465072 is about 438.7586775988.

The spelling of 84465072 in words is "eighty-four million, four hundred sixty-five thousand, seventy-two".