33672720 has 80 divisors (see below), whose sum is σ = 105118272. Its totient is φ = 8916480.

The previous prime is 33672719. The next prime is 33672721. The reversal of 33672720 is 2727633.

It is an interprime number because it is at equal distance from previous prime (33672719) and next prime (33672721).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33672720² = 2267704144396800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (33672721) 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, 41115 + ... + 41925.

Almost surely, 2^33672720 is an apocalyptic number.

33672720 is a gapful number since it is divisible by the number (30) 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 33672720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52559136).

33672720 is an abundant number, since it is smaller than the sum of its proper divisors (71445552).

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

33672720 is a wasteful number, since it uses less digits than its factorization.

33672720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 30.

The square root of 33672720 is about 5802.8200041015. The cubic root of 33672720 is about 322.9183561664.

The spelling of 33672720 in words is "thirty-three million, six hundred seventy-two thousand, seven hundred twenty".