35268672 has 28 divisors (see below), whose sum is σ = 93315536. Its totient is φ = 11756160.

The previous prime is 35268671. The next prime is 35268677. The reversal of 35268672 is 27686253.

It is a self number, because there is not a number n which added to its sum of digits gives 35268672.

It is not an unprimeable number, because it can be changed into a prime (35268671) 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 3 ways as a sum of consecutive naturals, for example, 91654 + ... + 92037.

Almost surely, 2^35268672 is an apocalyptic number.

35268672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

35268672 is an abundant number, since it is smaller than the sum of its proper divisors (58046864).

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

35268672 is a wasteful number, since it uses less digits than its factorization.

35268672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183706 (or 183696 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 35268672 is about 5938.7433014065. The cubic root of 35268672 is about 327.9414926379.

The spelling of 35268672 in words is "thirty-five million, two hundred sixty-eight thousand, six hundred seventy-two".