72648300460 has 96 divisors (see below), whose sum is σ = 159332382720. Its totient is φ = 27799200000.

The previous prime is 72648300451. The next prime is 72648300469. The reversal of 72648300460 is 6400384627.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72648300451) and next prime (72648300469).

It is not an unprimeable number, because it can be changed into a prime (72648300469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14670985 + ... + 14675935.

It is an arithmetic number, because the mean of its divisors is an integer number (1659712320).

Almost surely, 2^72648300460 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 72648300460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79666191360).

72648300460 is an abundant number, since it is smaller than the sum of its proper divisors (86684082260).

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

72648300460 is a wasteful number, since it uses less digits than its factorization.

72648300460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5327 (or 5325 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 72648300460 in words is "seventy-two billion, six hundred forty-eight million, three hundred thousand, four hundred sixty".