33872130 has 48 divisors (see below), whose sum is σ = 88391160. Its totient is φ = 8999424.

The previous prime is 33872107. The next prime is 33872147. The reversal of 33872130 is 3127833.

It can be written as a sum of positive squares in 4 ways, for example, as 24890121 + 8982009 = 4989^2 + 2997^2 .

It is a super-2 number, since 2×33872130² = 2294642381473800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33872094 and 33872103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33066 + ... + 34074.

Almost surely, 2^33872130 is an apocalyptic number.

33872130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

33872130 is an abundant number, since it is smaller than the sum of its proper divisors (54519030).

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

33872130 is a wasteful number, since it uses less digits than its factorization.

33872130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 33872130 is about 5819.9768040775. The cubic root of 33872130 is about 323.5545433014.

Adding to 33872130 its reverse (3127833), we get a palindrome (36999963).

The spelling of 33872130 in words is "thirty-three million, eight hundred seventy-two thousand, one hundred thirty".