72133140 has 24 divisors (see below), whose sum is σ = 201972960. Its totient is φ = 19235488.

The previous prime is 72133123. The next prime is 72133147. The reversal of 72133140 is 4133127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72133147) 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, 601050 + ... + 601169.

It is an arithmetic number, because the mean of its divisors is an integer number (8415540).

Almost surely, 2^72133140 is an apocalyptic number.

It is an amenable number.

72133140 is an abundant number, since it is smaller than the sum of its proper divisors (129839820).

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

72133140 is a wasteful number, since it uses less digits than its factorization.

72133140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202231 (or 1202229 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 72133140 is about 8493.1231004855. The cubic root of 72133140 is about 416.2730348244.

Adding to 72133140 its reverse (4133127), we get a palindrome (76266267).

The spelling of 72133140 in words is "seventy-two million, one hundred thirty-three thousand, one hundred forty".