73647720072 has 160 divisors (see below), whose sum is σ = 213141170880. Its totient is φ = 23746020480.

The previous prime is 73647720071. The next prime is 73647720073. The reversal of 73647720072 is 27002774637.

It is an interprime number because it is at equal distance from previous prime (73647720071) and next prime (73647720073).

It is not an unprimeable number, because it can be changed into a prime (73647720071) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2423323 + ... + 2453525.

It is an arithmetic number, because the mean of its divisors is an integer number (1332132318).

Almost surely, 2^73647720072 is an apocalyptic number.

73647720072 is a gapful number since it is divisible by the number (72) 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 73647720072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106570585440).

73647720072 is an abundant number, since it is smaller than the sum of its proper divisors (139493450808).

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

73647720072 is a wasteful number, since it uses less digits than its factorization.

73647720072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30345 (or 30332 counting only the distinct ones).

The product of its (nonzero) digits is 691488, while the sum is 45.

The spelling of 73647720072 in words is "seventy-three billion, six hundred forty-seven million, seven hundred twenty thousand, seventy-two".