92272320 has 336 divisors, whose sum is σ = 380390400. Its totient is φ = 20072448.

The previous prime is 92272309. The next prime is 92272331. The reversal of 92272320 is 2327229.

It is an interprime number because it is at equal distance from previous prime (92272309) and next prime (92272331).

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 463581 + ... + 463779.

Almost surely, 2^92272320 is an apocalyptic number.

92272320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92272320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190195200).

92272320 is an abundant number, since it is smaller than the sum of its proper divisors (288118080).

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

92272320 is a wasteful number, since it uses less digits than its factorization.

92272320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 92272320 is about 9605.8482186635. The cubic root of 92272320 is about 451.8807213913.

Adding to 92272320 its reverse (2327229), we get a palindrome (94599549).

The spelling of 92272320 in words is "ninety-two million, two hundred seventy-two thousand, three hundred twenty".