84672512 has 76 divisors (see below), whose sum is σ = 188743320. Its totient is φ = 37748736.

The previous prime is 84672487. The next prime is 84672527. The reversal of 84672512 is 21527648.

It is a tau number, because it is divible by the number of its divisors (76).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4456439 + ... + 4456457.

Almost surely, 2^84672512 is an apocalyptic number.

84672512 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84672512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94371660).

84672512 is an abundant number, since it is smaller than the sum of its proper divisors (104070808).

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

84672512 is an frugal number, since it uses more digits than its factorization.

84672512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 38 counting only the distinct ones).

The product of its digits is 26880, while the sum is 35.

The square root of 84672512 is about 9201.7667868731. The cubic root of 84672512 is about 439.1175702938.

It can be divided in two parts, 84672 and 512, that added together give a cube (85184 = 44³).

The spelling of 84672512 in words is "eighty-four million, six hundred seventy-two thousand, five hundred twelve".