72100800 has 168 divisors, whose sum is σ = 262991600. Its totient is φ = 19215360.

The previous prime is 72100799. The next prime is 72100849. The reversal of 72100800 is 800127.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42366 + ... + 44034.

Almost surely, 2^72100800 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 72100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131495800).

72100800 is an abundant number, since it is smaller than the sum of its proper divisors (190890800).

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

72100800 is a wasteful number, since it uses less digits than its factorization.

72100800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 72100800 is about 8491.2189937606. The cubic root of 72100800 is about 416.2108152384.

Adding to 72100800 its reverse (800127), we get a palindrome (72900927).

It can be divided in two parts, 72100 and 800, that added together give a square (72900 = 270²).

The spelling of 72100800 in words is "seventy-two million, one hundred thousand, eight hundred".