34775072 has 48 divisors (see below), whose sum is σ = 70670880. Its totient is φ = 16837632.

The previous prime is 34775071. The next prime is 34775099. The reversal of 34775072 is 27057743.

It is not an unprimeable number, because it can be changed into a prime (34775071) 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, 213263 + ... + 213425.

It is an arithmetic number, because the mean of its divisors is an integer number (1472310).

Almost surely, 2^34775072 is an apocalyptic number.

34775072 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 34775072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35335440).

34775072 is an abundant number, since it is smaller than the sum of its proper divisors (35895808).

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

34775072 is a wasteful number, since it uses less digits than its factorization.

34775072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 35.

The square root of 34775072 is about 5897.0392571188. The cubic root of 34775072 is about 326.4044060984.

The spelling of 34775072 in words is "thirty-four million, seven hundred seventy-five thousand, seventy-two".