72730344960 has 1280 divisors, whose sum is σ = 329098936320. Its totient is φ = 14810480640.

The previous prime is 72730344959. The next prime is 72730344961. The reversal of 72730344960 is 6944303727.

It is an interprime number because it is at equal distance from previous prime (72730344959) and next prime (72730344961).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72730344961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 194987334 + ... + 194987706.

It is an arithmetic number, because the mean of its divisors is an integer number (257108544).

Almost surely, 2^72730344960 is an apocalyptic number.

72730344960 is a gapful number since it is divisible by the number (70) 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 72730344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164549468160).

72730344960 is an abundant number, since it is smaller than the sum of its proper divisors (256368591360).

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

72730344960 is a wasteful number, since it uses less digits than its factorization.

72730344960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 72730344960 in words is "seventy-two billion, seven hundred thirty million, three hundred forty-four thousand, nine hundred sixty".