33672072 has 64 divisors (see below), whose sum is σ = 98824320. Its totient is φ = 9358848.

The previous prime is 33672071. The next prime is 33672073. The reversal of 33672072 is 27027633.

It is an interprime number because it is at equal distance from previous prime (33672071) and next prime (33672073).

It is a super-2 number, since 2×33672072² = 2267616865546368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33672071) 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, 3508 + ... + 8924.

It is an arithmetic number, because the mean of its divisors is an integer number (1544130).

Almost surely, 2^33672072 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 33672072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49412160).

33672072 is an abundant number, since it is smaller than the sum of its proper divisors (65152248).

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

33672072 is a wasteful number, since it uses less digits than its factorization.

33672072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5470 (or 5466 counting only the distinct ones).

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

The square root of 33672072 is about 5802.7641689112. The cubic root of 33672072 is about 322.9162847326.

The spelling of 33672072 in words is "thirty-three million, six hundred seventy-two thousand, seventy-two".