34315072 has 56 divisors (see below), whose sum is σ = 75346560. Its totient is φ = 15375360.

The previous prime is 34315067. The next prime is 34315079. The reversal of 34315072 is 27051343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34315079) 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, 55308 + ... + 55924.

Almost surely, 2^34315072 is an apocalyptic number.

34315072 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 34315072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37673280).

34315072 is an abundant number, since it is smaller than the sum of its proper divisors (41031488).

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

34315072 is a wasteful number, since it uses less digits than its factorization.

34315072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 34315072 is about 5857.9067933862. The cubic root of 34315072 is about 324.9588018784.

The spelling of 34315072 in words is "thirty-four million, three hundred fifteen thousand, seventy-two".