34755072 has 160 divisors (see below), whose sum is σ = 107832384. Its totient is φ = 9912320.

The previous prime is 34755067. The next prime is 34755103. The reversal of 34755072 is 27055743.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2044408 + ... + 2044424.

Almost surely, 2^34755072 is an apocalyptic number.

34755072 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 34755072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53916192).

34755072 is an abundant number, since it is smaller than the sum of its proper divisors (73077312).

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

34755072 is an equidigital number, since it uses as much as digits as its factorization.

34755072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 33.

The square root of 34755072 is about 5895.3432470044. The cubic root of 34755072 is about 326.3418196954.

The spelling of 34755072 in words is "thirty-four million, seven hundred fifty-five thousand, seventy-two".