84072576 has 64 divisors (see below), whose sum is σ = 255228480. Its totient is φ = 24019968.

The previous prime is 84072563. The next prime is 84072577. The reversal of 84072576 is 67527048.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (84072577) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12951 + ... + 18326.

It is an arithmetic number, because the mean of its divisors is an integer number (3987945).

Almost surely, 2^84072576 is an apocalyptic number.

It is an amenable number.

84072576 is an abundant number, since it is smaller than the sum of its proper divisors (171155904).

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

84072576 is a wasteful number, since it uses less digits than its factorization.

84072576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31301 (or 31289 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 84072576 is about 9169.1098804628. The cubic root of 84072576 is about 438.0780078320.

It can be divided in two parts, 84072 and 576, that added together give a palindrome (84648).

The spelling of 84072576 in words is "eighty-four million, seventy-two thousand, five hundred seventy-six".