35985072 has 40 divisors (see below), whose sum is σ = 94279680. Its totient is φ = 11824960.

The previous prime is 35985071. The next prime is 35985077. The reversal of 35985072 is 27058953.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 35985072.

It is not an unprimeable number, because it can be changed into a prime (35985071) 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, 1872 + ... + 8687.

It is an arithmetic number, because the mean of its divisors is an integer number (2356992).

Almost surely, 2^35985072 is an apocalyptic number.

It is an amenable number.

35985072 is an abundant number, since it is smaller than the sum of its proper divisors (58294608).

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

35985072 is a wasteful number, since it uses less digits than its factorization.

35985072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10641 (or 10635 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 35985072 is about 5998.7558710119. The cubic root of 35985072 is about 330.1470786074.

The spelling of 35985072 in words is "thirty-five million, nine hundred eighty-five thousand, seventy-two".