92971872 has 144 divisors (see below), whose sum is σ = 305690112. Its totient is φ = 26254080.

The previous prime is 92971867. The next prime is 92971889. The reversal of 92971872 is 27817929.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215497 + ... + 215927.

It is an arithmetic number, because the mean of its divisors is an integer number (2122848).

Almost surely, 2^92971872 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 92971872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152845056).

92971872 is an abundant number, since it is smaller than the sum of its proper divisors (212718240).

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

92971872 is a wasteful number, since it uses less digits than its factorization.

92971872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 550 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 92971872 is about 9642.1922818413. The cubic root of 92971872 is about 453.0198082065.

The spelling of 92971872 in words is "ninety-two million, nine hundred seventy-one thousand, eight hundred seventy-two".