72452242000 has 80 divisors (see below), whose sum is σ = 175284205200. Its totient is φ = 28965235200.

The previous prime is 72452241907. The next prime is 72452242001. The reversal of 72452242000 is 24225427.

It can be written as a sum of positive squares in 8 ways, for example, as 60364558864 + 12087683136 = 245692^2 + 109944^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 72452242000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72452242001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4129246 + ... + 4146754.

It is an arithmetic number, because the mean of its divisors is an integer number (2191052565).

Almost surely, 2^72452242000 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 72452242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87642102600).

72452242000 is an abundant number, since it is smaller than the sum of its proper divisors (102831963200).

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

72452242000 is a wasteful number, since it uses less digits than its factorization.

72452242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19601 (or 19585 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 28.

Adding to 72452242000 its reverse (24225427), we get a palindrome (72476467427).

The spelling of 72452242000 in words is "seventy-two billion, four hundred fifty-two million, two hundred forty-two thousand".