34262272 has 72 divisors (see below), whose sum is σ = 77999040. Its totient is φ = 14896640.

The previous prime is 34262251. The next prime is 34262273. The reversal of 34262272 is 27226243.

Its product of digits (8064) is a multiple of the sum of its prime divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34262272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34262273) 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, 1489653 + ... + 1489675.

It is an arithmetic number, because the mean of its divisors is an integer number (1083320).

Almost surely, 2^34262272 is an apocalyptic number.

34262272 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 34262272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38999520).

34262272 is an abundant number, since it is smaller than the sum of its proper divisors (43736768).

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

34262272 is an frugal number, since it uses more digits than its factorization.

34262272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 36 counting only the distinct ones).

The product of its digits is 8064, while the sum is 28.

The square root of 34262272 is about 5853.3983291760. The cubic root of 34262272 is about 324.7920468500.

The spelling of 34262272 in words is "thirty-four million, two hundred sixty-two thousand, two hundred seventy-two".