35961072 has 160 divisors (see below), whose sum is σ = 115230720. Its totient is φ = 9434880.

The previous prime is 35961071. The next prime is 35961139. The reversal of 35961072 is 27016953.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35961071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274447 + ... + 274577.

It is an arithmetic number, because the mean of its divisors is an integer number (720192).

Almost surely, 2^35961072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35961072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57615360).

35961072 is an abundant number, since it is smaller than the sum of its proper divisors (79269648).

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

35961072 is a wasteful number, since it uses less digits than its factorization.

35961072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 35961072 is about 5996.7551225642. The cubic root of 35961072 is about 330.0736658317.

The spelling of 35961072 in words is "thirty-five million, nine hundred sixty-one thousand, seventy-two".