72032800 has 144 divisors (see below), whose sum is σ = 211861440. Its totient is φ = 23362560.

The previous prime is 72032767. The next prime is 72032801. The reversal of 72032800 is 823027.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72032801) 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, 106062 + ... + 106738.

It is an arithmetic number, because the mean of its divisors is an integer number (1471260).

Almost surely, 2^72032800 is an apocalyptic number.

72032800 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 72032800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105930720).

72032800 is an abundant number, since it is smaller than the sum of its proper divisors (139828640).

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

72032800 is a wasteful number, since it uses less digits than its factorization.

72032800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 72032800 is about 8487.2139127042. The cubic root of 72032800 is about 416.0799279360.

Adding to 72032800 its reverse (823027), we get a palindrome (72855827).

The spelling of 72032800 in words is "seventy-two million, thirty-two thousand, eight hundred".