72136872 has 64 divisors (see below), whose sum is σ = 201177600. Its totient is φ = 23950080.

The previous prime is 72136871. The next prime is 72136873. The reversal of 72136872 is 27863127.

It is an interprime number because it is at equal distance from previous prime (72136871) and next prime (72136873).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72136871) 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 15 ways as a sum of consecutive naturals, for example, 72297 + ... + 73287.

It is an arithmetic number, because the mean of its divisors is an integer number (3143400).

Almost surely, 2^72136872 is an apocalyptic number.

72136872 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72136872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100588800).

72136872 is an abundant number, since it is smaller than the sum of its proper divisors (129040728).

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

72136872 is a wasteful number, since it uses less digits than its factorization.

72136872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1333 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 72136872 is about 8493.3428048090. The cubic root of 72136872 is about 416.2802136984.

Adding to 72136872 its reverse (27863127), we get a palindrome (99999999).

The spelling of 72136872 in words is "seventy-two million, one hundred thirty-six thousand, eight hundred seventy-two".