33768672 has 96 divisors (see below), whose sum is σ = 104638464. Its totient is φ = 9331200.

The previous prime is 33768671. The next prime is 33768677. The reversal of 33768672 is 27686733.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33768672² = 2280646417287168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 (33768671) 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, 20022 + ... + 21642.

It is an arithmetic number, because the mean of its divisors is an integer number (1089984).

Almost surely, 2^33768672 is an apocalyptic number.

33768672 is a gapful number since it is divisible by the number (32) 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 33768672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52319232).

33768672 is an abundant number, since it is smaller than the sum of its proper divisors (70869792).

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

33768672 is a wasteful number, since it uses less digits than its factorization.

33768672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1664 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The square root of 33768672 is about 5811.0818269923. The cubic root of 33768672 is about 323.2247889688.

The spelling of 33768672 in words is "thirty-three million, seven hundred sixty-eight thousand, six hundred seventy-two".