92938272 has 192 divisors, whose sum is σ = 304819200. Its totient is φ = 24192000.

The previous prime is 92938259. The next prime is 92938273. The reversal of 92938272 is 27283929.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92938273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 370147 + ... + 370397.

It is an arithmetic number, because the mean of its divisors is an integer number (1587600).

Almost surely, 2^92938272 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 92938272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152409600).

92938272 is an abundant number, since it is smaller than the sum of its proper divisors (211880928).

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

92938272 is a wasteful number, since it uses less digits than its factorization.

92938272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 311 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 92938272 is about 9640.4497820382. The cubic root of 92938272 is about 452.9652279008.

The spelling of 92938272 in words is "ninety-two million, nine hundred thirty-eight thousand, two hundred seventy-two".