34272672 has 48 divisors (see below), whose sum is σ = 102820032. Its totient is φ = 9792000.

The previous prime is 34272671. The next prime is 34272683. The reversal of 34272672 is 27627243.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (34272671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24829 + ... + 26172.

It is an arithmetic number, because the mean of its divisors is an integer number (2142084).

Almost surely, 2^34272672 is an apocalyptic number.

34272672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34272672 is an abundant number, since it is smaller than the sum of its proper divisors (68547360).

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

34272672 is a wasteful number, since it uses less digits than its factorization.

34272672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51021 (or 51013 counting only the distinct ones).

The product of its digits is 28224, while the sum is 33.

The square root of 34272672 is about 5854.2866345952. The cubic root of 34272672 is about 324.8249060795.

The spelling of 34272672 in words is "thirty-four million, two hundred seventy-two thousand, six hundred seventy-two".