72573671338056 has 96 divisors (see below), whose sum is σ = 225276439752000. Its totient is φ = 20675921051520.

The previous prime is 72573671337997. The next prime is 72573671338079. The reversal of 72573671338056 is 65083317637527.

It is a happy number.

72573671338056 is a `hidden beast` number, since 7 + 2 + 573 + 6 + 7 + 1 + 3 + 3 + 8 + 0 + 56 = 666.

It is a super-2 number, since 2×72573671338056² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 72573671337984 and 72573671338002.

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 23 ways as a sum of consecutive naturals, for example, 206121210 + ... + 206473001.

It is an arithmetic number, because the mean of its divisors is an integer number (2346629580750).

Almost surely, 2^{72573671338056} is an apocalyptic number.

It is an amenable number.

72573671338056 is an abundant number, since it is smaller than the sum of its proper divisors (152702768413944).

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

72573671338056 is a wasteful number, since it uses less digits than its factorization.

72573671338056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412594579 (or 412594572 counting only the distinct ones).

The product of its (nonzero) digits is 133358400, while the sum is 63.

The spelling of 72573671338056 in words is "seventy-two trillion, five hundred seventy-three billion, six hundred seventy-one million, three hundred thirty-eight thousand, fifty-six".