92132000 has 96 divisors (see below), whose sum is σ = 233985024. Its totient is φ = 35616000.

The previous prime is 92131973. The next prime is 92132003. The reversal of 92132000 is 23129.

It is a self number, because there is not a number n which added to its sum of digits gives 92132000.

It is not an unprimeable number, because it can be changed into a prime (92132003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123629 + ... + 124371.

It is an arithmetic number, because the mean of its divisors is an integer number (2437344).

Almost surely, 2^92132000 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 92132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116992512).

92132000 is an abundant number, since it is smaller than the sum of its proper divisors (141853024).

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

92132000 is a wasteful number, since it uses less digits than its factorization.

92132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 92132000 is about 9598.5415558823. The cubic root of 92132000 is about 451.6515444224.

Adding to 92132000 its reverse (23129), we get a palindrome (92155129).

The spelling of 92132000 in words is "ninety-two million, one hundred thirty-two thousand".