72948437328 has 160 divisors (see below), whose sum is σ = 206986752000. Its totient is φ = 22001038848.

The previous prime is 72948437327. The next prime is 72948437357. The reversal of 72948437328 is 82373484927.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72948437321) 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, 13508773 + ... + 13514171.

It is an arithmetic number, because the mean of its divisors is an integer number (1293667200).

Almost surely, 2^72948437328 is an apocalyptic number.

72948437328 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 72948437328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103493376000).

72948437328 is an abundant number, since it is smaller than the sum of its proper divisors (134038314672).

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

72948437328 is a wasteful number, since it uses less digits than its factorization.

72948437328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5849 (or 5843 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 57.

The spelling of 72948437328 in words is "seventy-two billion, nine hundred forty-eight million, four hundred thirty-seven thousand, three hundred twenty-eight".