84903072 has 48 divisors (see below), whose sum is σ = 224384832. Its totient is φ = 28108800.

The previous prime is 84903067. The next prime is 84903089. The reversal of 84903072 is 27030948.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11568 + ... + 17424.

It is an arithmetic number, because the mean of its divisors is an integer number (4674684).

Almost surely, 2^84903072 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 84903072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112192416).

84903072 is an abundant number, since it is smaller than the sum of its proper divisors (139481760).

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

84903072 is a wasteful number, since it uses less digits than its factorization.

84903072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6021 (or 6013 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 84903072 is about 9214.2862990033. The cubic root of 84903072 is about 439.5157758422.

The spelling of 84903072 in words is "eighty-four million, nine hundred three thousand, seventy-two".