84027672 has 64 divisors (see below), whose sum is σ = 236652000. Its totient is φ = 27625536.

The previous prime is 84027653. The next prime is 84027677. The reversal of 84027672 is 27672048.

The cubic root of 84027672 is 438.

It is a perfect power (a cube), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84027677) 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, 1151028 + ... + 1151100.

Almost surely, 2^84027672 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 84027672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118326000).

84027672 is an abundant number, since it is smaller than the sum of its proper divisors (152624328).

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

84027672 is an frugal number, since it uses more digits than its factorization.

84027672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 84027672 is about 9166.6608969679.

The spelling of 84027672 in words is "eighty-four million, twenty-seven thousand, six hundred seventy-two".