33642672 has 80 divisors (see below), whose sum is σ = 99993600. Its totient is φ = 9547776.

The previous prime is 33642671. The next prime is 33642683. The reversal of 33642672 is 27624633.

It is a super-2 number, since 2×33642672² = 2263658758599168, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33642671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74704 + ... + 75152.

It is an arithmetic number, because the mean of its divisors is an integer number (1249920).

Almost surely, 2^33642672 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 33642672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49996800).

33642672 is an abundant number, since it is smaller than the sum of its proper divisors (66350928).

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

33642672 is a wasteful number, since it uses less digits than its factorization.

33642672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 684 counting only the distinct ones).

The product of its digits is 36288, while the sum is 33.

The square root of 33642672 is about 5800.2303402537. The cubic root of 33642672 is about 322.8222750422.

The spelling of 33642672 in words is "thirty-three million, six hundred forty-two thousand, six hundred seventy-two".