73527857000 has 128 divisors (see below), whose sum is σ = 186933670560. Its totient is φ = 26907955200.

The previous prime is 73527856999. The next prime is 73527857057. The reversal of 73527857000 is 75872537.

It can be written as a sum of positive squares in 16 ways, for example, as 12341876836 + 61185980164 = 111094^2 + 247358^2 .

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 31 ways as a sum of consecutive naturals, for example, 1443974 + ... + 1494026.

Almost surely, 2^73527857000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73527857000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93466835280).

73527857000 is an abundant number, since it is smaller than the sum of its proper divisors (113405813560).

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

73527857000 is a wasteful number, since it uses less digits than its factorization.

73527857000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50200 (or 50186 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 44.

The spelling of 73527857000 in words is "seventy-three billion, five hundred twenty-seven million, eight hundred fifty-seven thousand".