72152720640 has 864 divisors, whose sum is σ = 335235753216. Its totient is φ = 13837271040.

The previous prime is 72152720599. The next prime is 72152720641. The reversal of 72152720640 is 4602725127.

It is a happy number.

72152720640 is a `hidden beast` number, since 7 + 2 + 1 + 5 + 2 + 7 + 2 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 72152720595 and 72152720604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72152720641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11528392 + ... + 11534648.

It is an arithmetic number, because the mean of its divisors is an integer number (388004344).

Almost surely, 2^72152720640 is an apocalyptic number.

72152720640 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 72152720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167617876608).

72152720640 is an abundant number, since it is smaller than the sum of its proper divisors (263083032576).

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

72152720640 is a wasteful number, since it uses less digits than its factorization.

72152720640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6315 (or 6298 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 72152720640 in words is "seventy-two billion, one hundred fifty-two million, seven hundred twenty thousand, six hundred forty".