72559590 has 64 divisors (see below), whose sum is σ = 180576000. Its totient is φ = 18645120.

The previous prime is 72559583. The next prime is 72559601. The reversal of 72559590 is 9595527.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145161 + ... + 145659.

It is an arithmetic number, because the mean of its divisors is an integer number (2821500).

Almost surely, 2^72559590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72559590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90288000).

72559590 is an abundant number, since it is smaller than the sum of its proper divisors (108016410).

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

72559590 is a wasteful number, since it uses less digits than its factorization.

72559590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677.

The product of its (nonzero) digits is 141750, while the sum is 42.

The square root of 72559590 is about 8518.1917095121. The cubic root of 72559590 is about 417.0917567465.

The spelling of 72559590 in words is "seventy-two million, five hundred fifty-nine thousand, five hundred ninety".