72710966240 has 192 divisors, whose sum is σ = 203625031680. Its totient is φ = 24240384000.

The previous prime is 72710966231. The next prime is 72710966267. The reversal of 72710966240 is 4266901727.

It is a super-2 number, since 2×72710966240² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 72710966191 and 72710966200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1001570 + ... + 1071710.

It is an arithmetic number, because the mean of its divisors is an integer number (1060547040).

Almost surely, 2^72710966240 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 72710966240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101812515840).

72710966240 is an abundant number, since it is smaller than the sum of its proper divisors (130914065440).

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

72710966240 is a wasteful number, since it uses less digits than its factorization.

72710966240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70217 (or 70209 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 44.

The spelling of 72710966240 in words is "seventy-two billion, seven hundred ten million, nine hundred sixty-six thousand, two hundred forty".