33791472 has 160 divisors (see below), whose sum is σ = 114159360. Its totient is φ = 9434880.

The previous prime is 33791453. The next prime is 33791473. The reversal of 33791472 is 27419733.

It is a super-2 number, since 2×33791472² = 2283727159853568, which contains 22 as substring.

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

Its product of digits (31752) is a multiple of the sum of its prime factors (588).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33791473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61503 + ... + 62049.

It is an arithmetic number, because the mean of its divisors is an integer number (713496).

Almost surely, 2^33791472 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 33791472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57079680).

33791472 is an abundant number, since it is smaller than the sum of its proper divisors (80367888).

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

33791472 is a wasteful number, since it uses less digits than its factorization.

33791472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 576 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 33791472 is about 5813.0432649345. The cubic root of 33791472 is about 323.2975177910.

It can be divided in two parts, 3379 and 1472, that added together give a triangular number (4851 = T₉₈).

The spelling of 33791472 in words is "thirty-three million, seven hundred ninety-one thousand, four hundred seventy-two".