72133600 has 144 divisors (see below), whose sum is σ = 219735936. Its totient is φ = 22464000.

The previous prime is 72133597. The next prime is 72133603. The reversal of 72133600 is 633127.

It is an interprime number because it is at equal distance from previous prime (72133597) and next prime (72133603).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72133603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61015 + ... + 62185.

It is an arithmetic number, because the mean of its divisors is an integer number (1525944).

Almost surely, 2^72133600 is an apocalyptic number.

72133600 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 72133600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109867968).

72133600 is an abundant number, since it is smaller than the sum of its proper divisors (147602336).

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

72133600 is a wasteful number, since it uses less digits than its factorization.

72133600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 72133600 is about 8493.1501811754. The cubic root of 72133600 is about 416.2739196937.

Adding to 72133600 its reverse (633127), we get a palindrome (72766727).

The spelling of 72133600 in words is "seventy-two million, one hundred thirty-three thousand, six hundred".