35755072 has 56 divisors (see below), whose sum is σ = 73737216. Its totient is φ = 17192448.

The previous prime is 35755051. The next prime is 35755079. The reversal of 35755072 is 27055753.

It is not an unprimeable number, because it can be changed into a prime (35755079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 281473 + ... + 281599.

It is an arithmetic number, because the mean of its divisors is an integer number (1316736).

Almost surely, 2^35755072 is an apocalyptic number.

35755072 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 35755072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36868608).

35755072 is an abundant number, since it is smaller than the sum of its proper divisors (37982144).

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

35755072 is a wasteful number, since it uses less digits than its factorization.

35755072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 36750, while the sum is 34.

The square root of 35755072 is about 5979.5544984555. The cubic root of 35755072 is about 329.4421920273.

The spelling of 35755072 in words is "thirty-five million, seven hundred fifty-five thousand, seventy-two".