72113100 has 72 divisors (see below), whose sum is σ = 209653248. Its totient is φ = 19137600.

The previous prime is 72113089. The next prime is 72113131. The reversal of 72113100 is 131127.

It is a super-2 number, since 2×72113100² = 10400598383220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 72113100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80857 + ... + 81743.

Almost surely, 2^72113100 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 72113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104826624).

72113100 is an abundant number, since it is smaller than the sum of its proper divisors (137540148).

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

72113100 is a wasteful number, since it uses less digits than its factorization.

72113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 72113100 is about 8491.9432405074. The cubic root of 72113100 is about 416.2344816514.

Adding to 72113100 its reverse (131127), we get a palindrome (72244227).

The spelling of 72113100 in words is "seventy-two million, one hundred thirteen thousand, one hundred".