72051100 has 72 divisors (see below), whose sum is σ = 180644688. Its totient is φ = 24652800.

The previous prime is 72051061. The next prime is 72051103. The reversal of 72051100 is 115027.

It is a super-2 number, since 2×72051100² = 10382722022420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72051103) by changing a digit.

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, 16774 + ... + 20626.

It is an arithmetic number, because the mean of its divisors is an integer number (2508954).

Almost surely, 2^72051100 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 72051100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90322344).

72051100 is an abundant number, since it is smaller than the sum of its proper divisors (108593588).

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

72051100 is a wasteful number, since it uses less digits than its factorization.

72051100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3895 (or 3888 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 72051100 is about 8488.2919365441. The cubic root of 72051100 is about 416.1151601171.

Adding to 72051100 its reverse (115027), we get a palindrome (72166127).

The spelling of 72051100 in words is "seventy-two million, fifty-one thousand, one hundred".