72071633504640 has 1024 divisors, whose sum is σ = 292446422784000. Its totient is φ = 14966360801280.

The previous prime is 72071633504603. The next prime is 72071633504659. The reversal of 72071633504640 is 4640533617027.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 72071633504640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20261913742 + ... + 20261917298.

It is an arithmetic number, because the mean of its divisors is an integer number (285592209750).

Almost surely, 2^{72071633504640} is an apocalyptic number.

72071633504640 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 72071633504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146223211392000).

72071633504640 is an abundant number, since it is smaller than the sum of its proper divisors (220374789279360).

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

72071633504640 is a wasteful number, since it uses less digits than its factorization.

72071633504640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6408 (or 6382 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 48.

The spelling of 72071633504640 in words is "seventy-two trillion, seventy-one billion, six hundred thirty-three million, five hundred four thousand, six hundred forty".