35249872 has 40 divisors (see below), whose sum is σ = 78334272. Its totient is φ = 15052800.

The previous prime is 35249849. The next prime is 35249881. The reversal of 35249872 is 27894253.

35249872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54672 + ... + 55312.

Almost surely, 2^35249872 is an apocalyptic number.

It is an amenable number.

35249872 is an abundant number, since it is smaller than the sum of its proper divisors (43084400).

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

35249872 is a wasteful number, since it uses less digits than its factorization.

35249872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1141 counting only the distinct ones).

The product of its digits is 120960, while the sum is 40.

The square root of 35249872 is about 5937.1602639646. The cubic root of 35249872 is about 327.8832124371.

The spelling of 35249872 in words is "thirty-five million, two hundred forty-nine thousand, eight hundred seventy-two".