72135492 has 96 divisors (see below), whose sum is σ = 199901184. Its totient is φ = 19958400.

The previous prime is 72135473. The next prime is 72135493. The reversal of 72135492 is 29453127.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (72135493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217767 + ... + 218097.

It is an arithmetic number, because the mean of its divisors is an integer number (2082304).

Almost surely, 2^72135492 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 72135492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99950592).

72135492 is an abundant number, since it is smaller than the sum of its proper divisors (127765692).

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

72135492 is a wasteful number, since it uses less digits than its factorization.

72135492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 487 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 72135492 is about 8493.2615643226. The cubic root of 72135492 is about 416.2775591597.

It can be divided in two parts, 72135 and 492, that added together give a palindrome (72627).

The spelling of 72135492 in words is "seventy-two million, one hundred thirty-five thousand, four hundred ninety-two".