72133520 has 80 divisors (see below), whose sum is σ = 176774400. Its totient is φ = 27320832.

The previous prime is 72133513. The next prime is 72133541. The reversal of 72133520 is 2533127.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

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, 362381 + ... + 362579.

It is an arithmetic number, because the mean of its divisors is an integer number (2209680).

Almost surely, 2^72133520 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 72133520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88387200).

72133520 is an abundant number, since it is smaller than the sum of its proper divisors (104640880).

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

72133520 is a wasteful number, since it uses less digits than its factorization.

72133520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 72133520 is about 8493.1454714964. The cubic root of 72133520 is about 416.2737658036.

Adding to 72133520 its reverse (2533127), we get a palindrome (74666647).

The spelling of 72133520 in words is "seventy-two million, one hundred thirty-three thousand, five hundred twenty".