84101472 has 144 divisors (see below), whose sum is σ = 294446880. Its totient is φ = 22173696.

The previous prime is 84101453. The next prime is 84101489. The reversal of 84101472 is 27410148.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24604 + ... + 27812.

It is an arithmetic number, because the mean of its divisors is an integer number (2044770).

Almost surely, 2^84101472 is an apocalyptic number.

84101472 is the 7488-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84101472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147223440).

84101472 is an abundant number, since it is smaller than the sum of its proper divisors (210345408).

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

84101472 is a wasteful number, since it uses less digits than its factorization.

84101472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3245 (or 3234 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 84101472 is about 9170.6854705633. The cubic root of 84101472 is about 438.1281916641.

The spelling of 84101472 in words is "eighty-four million, one hundred one thousand, four hundred seventy-two".