72820318775040 has 144 divisors (see below), whose sum is σ = 258410992442400. Its totient is φ = 19418751664128.

The previous prime is 72820318775023. The next prime is 72820318775053. The reversal of 72820318775040 is 4057781302827.

72820318775040 is a `hidden beast` number, since 7 + 2 + 8 + 20 + 31 + 87 + 7 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×72820318775040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1053500145 + ... + 1053569264.

It is an arithmetic number, because the mean of its divisors is an integer number (1794520780850).

Almost surely, 2^{72820318775040} is an apocalyptic number.

It is an amenable number.

72820318775040 is an abundant number, since it is smaller than the sum of its proper divisors (185590673667360).

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

72820318775040 is a wasteful number, since it uses less digits than its factorization.

72820318775040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107069439 (or 2107069419 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 72820318775040 in words is "seventy-two trillion, eight hundred twenty billion, three hundred eighteen million, seven hundred seventy-five thousand, forty".