72210100 has 36 divisors (see below), whose sum is σ = 159364800. Its totient is φ = 28392160.

The previous prime is 72210077. The next prime is 72210137. The reversal of 72210100 is 101227.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 220 + ... + 12019.

It is an arithmetic number, because the mean of its divisors is an integer number (4426800).

Almost surely, 2^72210100 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 72210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79682400).

72210100 is an abundant number, since it is smaller than the sum of its proper divisors (87154700).

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

72210100 is a wasteful number, since it uses less digits than its factorization.

72210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12312 (or 12305 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 72210100 is about 8497.6526170467. The cubic root of 72210100 is about 416.4210249906.

Adding to 72210100 its reverse (101227), we get a palindrome (72311327).

The spelling of 72210100 in words is "seventy-two million, two hundred ten thousand, one hundred".