72133152000 has 1152 divisors, whose sum is σ = 308558315520. Its totient is φ = 14517043200.

The previous prime is 72133151983. The next prime is 72133152017. The reversal of 72133152000 is 25133127.

It is an interprime number because it is at equal distance from previous prime (72133151983) and next prime (72133152017).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 200927821 + ... + 200928179.

It is an arithmetic number, because the mean of its divisors is an integer number (267845760).

Almost surely, 2^72133152000 is an apocalyptic number.

72133152000 is a gapful number since it is divisible by the number (70) 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 72133152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154279157760).

72133152000 is an abundant number, since it is smaller than the sum of its proper divisors (236425163520).

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

72133152000 is a wasteful number, since it uses less digits than its factorization.

72133152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

Adding to 72133152000 its reverse (25133127), we get a palindrome (72158285127).

The spelling of 72133152000 in words is "seventy-two billion, one hundred thirty-three million, one hundred fifty-two thousand".