34365072 has 120 divisors (see below), whose sum is σ = 108847200. Its totient is φ = 9289728.

The previous prime is 34365061. The next prime is 34365073. The reversal of 34365072 is 27056343.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (34365073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44304 + ... + 45072.

It is an arithmetic number, because the mean of its divisors is an integer number (907060).

Almost surely, 2^34365072 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 34365072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54423600).

34365072 is an abundant number, since it is smaller than the sum of its proper divisors (74482128).

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

34365072 is a wasteful number, since it uses less digits than its factorization.

34365072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 34365072 is about 5862.1729759535. The cubic root of 34365072 is about 325.1165562215.

The spelling of 34365072 in words is "thirty-four million, three hundred sixty-five thousand, seventy-two".