72672530268 has 72 divisors (see below), whose sum is σ = 183699970608. Its totient is φ = 22350601728.

The previous prime is 72672530263. The next prime is 72672530327. The reversal of 72672530268 is 86203527627.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72672530263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5300430 + ... + 5314122.

Almost surely, 2^72672530268 is an apocalyptic number.

72672530268 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72672530268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91849985304).

72672530268 is an abundant number, since it is smaller than the sum of its proper divisors (111027440340).

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

72672530268 is a wasteful number, since it uses less digits than its factorization.

72672530268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16343 (or 16328 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 72672530268 in words is "seventy-two billion, six hundred seventy-two million, five hundred thirty thousand, two hundred sixty-eight".