72420200 has 48 divisors (see below), whose sum is σ = 170158380. Its totient is φ = 28661760.

The previous prime is 72420197. The next prime is 72420203. The reversal of 72420200 is 202427.

It is an interprime number because it is at equal distance from previous prime (72420197) and next prime (72420203).

It can be written as a sum of positive squares in 6 ways, for example, as 25989604 + 46430596 = 5098^2 + 6814^2 .

It is not an unprimeable number, because it can be changed into a prime (72420203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17534 + ... + 21266.

Almost surely, 2^72420200 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 72420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85079190).

72420200 is an abundant number, since it is smaller than the sum of its proper divisors (97738180).

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

72420200 is a wasteful number, since it uses less digits than its factorization.

72420200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3846 (or 3837 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 72420200 is about 8510.0058754386. The cubic root of 72420200 is about 416.8245019815.

Adding to 72420200 its reverse (202427), we get a palindrome (72622627).

The spelling of 72420200 in words is "seventy-two million, four hundred twenty thousand, two hundred".