72264242000 has 60 divisors (see below), whose sum is σ = 174764011188. Its totient is φ = 28900888000.

The previous prime is 72264241993. The next prime is 72264242009. The reversal of 72264242000 is 24246227.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2312455744 + 69951786256 = 48088^2 + 264484^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72264242009) 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, 12018995 + ... + 12025005.

Almost surely, 2^72264242000 is an apocalyptic number.

It is an amenable number.

72264242000 is an abundant number, since it is smaller than the sum of its proper divisors (102499769188).

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

72264242000 is an frugal number, since it uses more digits than its factorization.

72264242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12045 (or 6018 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 29.

Adding to 72264242000 its reverse (24246227), we get a palindrome (72288488227).

The spelling of 72264242000 in words is "seventy-two billion, two hundred sixty-four million, two hundred forty-two thousand".