72002900 has 36 divisors (see below), whose sum is σ = 157815420. Its totient is φ = 28512000.

The previous prime is 72002899. The next prime is 72002921. The reversal of 72002900 is 920027.

It can be written as a sum of positive squares in 6 ways, for example, as 3378244 + 68624656 = 1838^2 + 8284^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 6536 + ... + 13664.

Almost surely, 2^72002900 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 72002900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78907710).

72002900 is an abundant number, since it is smaller than the sum of its proper divisors (85812520).

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

72002900 is a wasteful number, since it uses less digits than its factorization.

72002900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7244 (or 7237 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 72002900 is about 8485.4522566567. The cubic root of 72002900 is about 416.0223499457.

Adding to 72002900 its reverse (920027), we get a palindrome (72922927).

The spelling of 72002900 in words is "seventy-two million, two thousand, nine hundred".