72133841 has 8 divisors (see below), whose sum is σ = 78296064. Its totient is φ = 66059280.

The previous prime is 72133829. The next prime is 72133843. The reversal of 72133841 is 14833127.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72133841 - 2²⁶ = 5024977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72133843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20195 + ... + 23496.

It is an arithmetic number, because the mean of its divisors is an integer number (9787008).

Almost surely, 2^72133841 is an apocalyptic number.

It is an amenable number.

72133841 is a deficient number, since it is larger than the sum of its proper divisors (6162223).

72133841 is a wasteful number, since it uses less digits than its factorization.

72133841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43831.

The product of its digits is 4032, while the sum is 29.

The square root of 72133841 is about 8493.1643690676. The cubic root of 72133841 is about 416.2743832867.

Adding to 72133841 its reverse (14833127), we get a palindrome (86966968).

The spelling of 72133841 in words is "seventy-two million, one hundred thirty-three thousand, eight hundred forty-one".