72583762350 has 96 divisors (see below), whose sum is σ = 200077444224. Its totient is φ = 17264041600.

The previous prime is 72583762327. The next prime is 72583762357. The reversal of 72583762350 is 5326738527.

It is a super-3 number, since 3×72583762350³ (a number of 34 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72583762350.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72583762357) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 327552 + ... + 502451.

It is an arithmetic number, because the mean of its divisors is an integer number (2084140044).

Almost surely, 2^72583762350 is an apocalyptic number.

72583762350 is an abundant number, since it is smaller than the sum of its proper divisors (127493681874).

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

72583762350 is a wasteful number, since it uses less digits than its factorization.

72583762350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830082 (or 830077 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The spelling of 72583762350 in words is "seventy-two billion, five hundred eighty-three million, seven hundred sixty-two thousand, three hundred fifty".