84360072 has 64 divisors (see below), whose sum is σ = 221860800. Its totient is φ = 26691840.

The previous prime is 84360053. The next prime is 84360097. The reversal of 84360072 is 27006348.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41463 + ... + 43449.

It is an arithmetic number, because the mean of its divisors is an integer number (3466575).

Almost surely, 2^84360072 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 84360072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110930400).

84360072 is an abundant number, since it is smaller than the sum of its proper divisors (137500728).

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

84360072 is a wasteful number, since it uses less digits than its factorization.

84360072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 84360072 is about 9184.7739220952. The cubic root of 84360072 is about 438.5767926956.

The spelling of 84360072 in words is "eighty-four million, three hundred sixty thousand, seventy-two".