33072795 has 72 divisors (see below), whose sum is σ = 68183856. Its totient is φ = 14781312.

The previous prime is 33072779. The next prime is 33072811. The reversal of 33072795 is 59727033.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (33072779) and next prime (33072811).

It is not a de Polignac number, because 33072795 - 2⁴ = 33072779 is a prime.

It is a super-2 number, since 2×33072795² = 2187619538224050, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 116724 + ... + 117006.

It is an arithmetic number, because the mean of its divisors is an integer number (946998).

Almost surely, 2^33072795 is an apocalyptic number.

33072795 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

33072795 is an abundant number, since it is smaller than the sum of its proper divisors (35111061).

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

33072795 is a wasteful number, since it uses less digits than its factorization.

33072795 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

The square root of 33072795 is about 5750.8951477140. The cubic root of 33072795 is about 320.9891107611.

The spelling of 33072795 in words is "thirty-three million, seventy-two thousand, seven hundred ninety-five".