72091800 has 216 divisors, whose sum is σ = 266923020. Its totient is φ = 17424000.

The previous prime is 72091793. The next prime is 72091801. The reversal of 72091800 is 819027.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72091801) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 217635 + ... + 217965.

Almost surely, 2^72091800 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 72091800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133461510).

72091800 is an abundant number, since it is smaller than the sum of its proper divisors (194831220).

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

72091800 is a wasteful number, since it uses less digits than its factorization.

72091800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 72091800 is about 8490.6890179773. The cubic root of 72091800 is about 416.1934966455.

It can be divided in two parts, 7209 and 1800, that added together give a palindrome (9009).

The spelling of 72091800 in words is "seventy-two million, ninety-one thousand, eight hundred".