72395404952 has 32 divisors (see below), whose sum is σ = 146463720480. Its totient is φ = 33349105920.

The previous prime is 72395404931. The next prime is 72395405039. The reversal of 72395404952 is 25940459327.

It is a happy number.

It is a super-2 number, since 2×72395404952² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72395404952.

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 7 ways as a sum of consecutive naturals, for example, 613868 + ... + 722235.

It is an arithmetic number, because the mean of its divisors is an integer number (4576991265).

Almost surely, 2^72395404952 is an apocalyptic number.

It is an amenable number.

72395404952 is an abundant number, since it is smaller than the sum of its proper divisors (74068315528).

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

72395404952 is a wasteful number, since it uses less digits than its factorization.

72395404952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336643 (or 1336639 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 50.

The spelling of 72395404952 in words is "seventy-two billion, three hundred ninety-five million, four hundred four thousand, nine hundred fifty-two".