33772050 has 144 divisors (see below), whose sum is σ = 102368448. Its totient is φ = 7920000.

The previous prime is 33772043. The next prime is 33772061. The reversal of 33772050 is 5027733.

It is a super-2 number, since 2×33772050² = 2281102722405000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) 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, 134425 + ... + 134675.

It is an arithmetic number, because the mean of its divisors is an integer number (710892).

Almost surely, 2^33772050 is an apocalyptic number.

33772050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33772050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51184224).

33772050 is an abundant number, since it is smaller than the sum of its proper divisors (68596398).

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

33772050 is a wasteful number, since it uses less digits than its factorization.

33772050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 27.

The square root of 33772050 is about 5811.3724712842. The cubic root of 33772050 is about 323.2355663834.

Adding to 33772050 its reverse (5027733), we get a palindrome (38799783).

The spelling of 33772050 in words is "thirty-three million, seven hundred seventy-two thousand, fifty".