72135100 has 18 divisors (see below), whose sum is σ = 156533384. Its totient is φ = 28854000.

The previous prime is 72135073. The next prime is 72135103. The reversal of 72135100 is 153127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72135103) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 360576 + ... + 360775.

Almost surely, 2^72135100 is an apocalyptic number.

It is an amenable number.

72135100 is an abundant number, since it is smaller than the sum of its proper divisors (84398284).

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

72135100 is a wasteful number, since it uses less digits than its factorization.

72135100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721365 (or 721358 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 72135100 is about 8493.2384871732. The cubic root of 72135100 is about 416.2768051107.

Adding to 72135100 its reverse (153127), we get a palindrome (72288227).

The spelling of 72135100 in words is "seventy-two million, one hundred thirty-five thousand, one hundred".