33172992 has 120 divisors (see below), whose sum is σ = 100221264. Its totient is φ = 10543104.

The previous prime is 33172943. The next prime is 33173003. The reversal of 33172992 is 29927133.

It is a super-2 number, since 2×33172992² = 2200894796464128, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 105828 + ... + 106140.

Almost surely, 2^33172992 is an apocalyptic number.

33172992 is a gapful number since it is divisible by the number (32) 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 33172992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50110632).

33172992 is an abundant number, since it is smaller than the sum of its proper divisors (67048272).

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

33172992 is a wasteful number, since it uses less digits than its factorization.

33172992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 341 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 33172992 is about 5759.5999861101. The cubic root of 33172992 is about 321.3129390629.

The spelling of 33172992 in words is "thirty-three million, one hundred seventy-two thousand, nine hundred ninety-two".