72133544 has 16 divisors (see below), whose sum is σ = 154572000. Its totient is φ = 30914352.

The previous prime is 72133541. The next prime is 72133547. The reversal of 72133544 is 44533127.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72133541) and next prime (72133547).

It is not an unprimeable number, because it can be changed into a prime (72133541) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 643994 + ... + 644105.

It is an arithmetic number, because the mean of its divisors is an integer number (9660750).

Almost surely, 2^72133544 is an apocalyptic number.

It is an amenable number.

72133544 is an abundant number, since it is smaller than the sum of its proper divisors (82438456).

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

72133544 is a wasteful number, since it uses less digits than its factorization.

72133544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288112 (or 1288108 counting only the distinct ones).

The product of its digits is 10080, while the sum is 29.

The square root of 72133544 is about 8493.1468844004. The cubic root of 72133544 is about 416.2738119706.

The spelling of 72133544 in words is "seventy-two million, one hundred thirty-three thousand, five hundred forty-four".