72435642 has 16 divisors (see below), whose sum is σ = 145480320. Its totient is φ = 24043712.

The previous prime is 72435611. The next prime is 72435659. The reversal of 72435642 is 24653427.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax 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, 23823 + ... + 26690.

It is an arithmetic number, because the mean of its divisors is an integer number (9092520).

Almost surely, 2^72435642 is an apocalyptic number.

72435642 is an abundant number, since it is smaller than the sum of its proper divisors (73044678).

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

72435642 is a wasteful number, since it uses less digits than its factorization.

72435642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50757.

The product of its digits is 40320, while the sum is 33.

The square root of 72435642 is about 8510.9131119992. The cubic root of 72435642 is about 416.8541260667.

The spelling of 72435642 in words is "seventy-two million, four hundred thirty-five thousand, six hundred forty-two".