84756672 has 448 divisors, whose sum is σ = 341376000. Its totient is φ = 20321280.

The previous prime is 84756653. The next prime is 84756709. The reversal of 84756672 is 27665748.

84756672 is a `hidden beast` number, since 84 + 7 + 566 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

Its product of digits (564480) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6519738 + ... + 6519750.

It is an arithmetic number, because the mean of its divisors is an integer number (762000).

Almost surely, 2^84756672 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 84756672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170688000).

84756672 is an abundant number, since it is smaller than the sum of its proper divisors (256619328).

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

84756672 is a wasteful number, since it uses less digits than its factorization.

84756672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 36 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 84756672 is about 9206.3386859272. The cubic root of 84756672 is about 439.2630086675.

The spelling of 84756672 in words is "eighty-four million, seven hundred fifty-six thousand, six hundred seventy-two".