72135300 has 72 divisors (see below), whose sum is σ = 211298976. Its totient is φ = 18997760.

The previous prime is 72135269. The next prime is 72135307. The reversal of 72135300 is 353127.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (72135307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23452 + ... + 26348.

It is an arithmetic number, because the mean of its divisors is an integer number (2934708).

Almost surely, 2^72135300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72135300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105649488).

72135300 is an abundant number, since it is smaller than the sum of its proper divisors (139163676).

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

72135300 is a wasteful number, since it uses less digits than its factorization.

72135300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2997 (or 2990 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 72135300 is about 8493.2502612369. The cubic root of 72135300 is about 416.2771898299.

Adding to 72135300 its reverse (353127), we get a palindrome (72488427).

The spelling of 72135300 in words is "seventy-two million, one hundred thirty-five thousand, three hundred".