84450072 has 64 divisors (see below), whose sum is σ = 242956800. Its totient is φ = 23961600.

The previous prime is 84450061. The next prime is 84450073. The reversal of 84450072 is 27005448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84450073) 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, 23704 + ... + 27032.

It is an arithmetic number, because the mean of its divisors is an integer number (3796200).

Almost surely, 2^84450072 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 84450072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121478400).

84450072 is an abundant number, since it is smaller than the sum of its proper divisors (158506728).

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

84450072 is a wasteful number, since it uses less digits than its factorization.

84450072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3496 (or 3492 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 84450072 is about 9189.6720289682. The cubic root of 84450072 is about 438.7327032734.

The spelling of 84450072 in words is "eighty-four million, four hundred fifty thousand, seventy-two".