33972156 has 96 divisors (see below), whose sum is σ = 92825600. Its totient is φ = 10730880.

The previous prime is 33972143. The next prime is 33972161. The reversal of 33972156 is 65127933.

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

It is a self number, because there is not a number n which added to its sum of digits gives 33972156.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244335 + ... + 244473.

Almost surely, 2^33972156 is an apocalyptic number.

33972156 is a gapful number since it is divisible by the number (36) 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 33972156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46412800).

33972156 is an abundant number, since it is smaller than the sum of its proper divisors (58853444).

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

33972156 is a wasteful number, since it uses less digits than its factorization.

33972156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 248 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 33972156 is about 5828.5638025160. The cubic root of 33972156 is about 323.8727209257.

The spelling of 33972156 in words is "thirty-three million, nine hundred seventy-two thousand, one hundred fifty-six".