84172032 has 216 divisors, whose sum is σ = 294630336. Its totient is φ = 22560768.

The previous prime is 84172031. The next prime is 84172073. The reversal of 84172032 is 23027148.

It is a junction number, because it is equal to n+sod(n) for n = 84171987 and 84172005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84172031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274023 + ... + 274329.

Almost surely, 2^84172032 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 84172032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147315168).

84172032 is an abundant number, since it is smaller than the sum of its proper divisors (210458304).

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

84172032 is a wasteful number, since it uses less digits than its factorization.

84172032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 84172032 is about 9174.5317046703. The cubic root of 84172032 is about 438.2506852936.

The spelling of 84172032 in words is "eighty-four million, one hundred seventy-two thousand, thirty-two".