33195072 has 56 divisors (see below), whose sum is σ = 91659456. Its totient is φ = 10582528.

The previous prime is 33195047. The next prime is 33195073. The reversal of 33195072 is 27059133.

It is a super-2 number, since 2×33195072² = 2203825610170368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (33195073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 658 + ... + 8174.

It is an arithmetic number, because the mean of its divisors is an integer number (1636776).

Almost surely, 2^33195072 is an apocalyptic number.

33195072 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 33195072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45829728).

33195072 is an abundant number, since it is smaller than the sum of its proper divisors (58464384).

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

33195072 is a wasteful number, since it uses less digits than its factorization.

33195072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7555 (or 7545 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 33195072 is about 5761.5164670423. The cubic root of 33195072 is about 321.3842120653.

It can be divided in two parts, 3 and 3195072, that multiplied together give a square (9585216 = 3096²).

The spelling of 33195072 in words is "thirty-three million, one hundred ninety-five thousand, seventy-two".