72559791 has 48 divisors (see below), whose sum is σ = 116756640. Its totient is φ = 43223040.

The previous prime is 72559789. The next prime is 72559801. The reversal of 72559791 is 19795527.

72559791 is a `hidden beast` number, since 7 + 2 + 559 + 7 + 91 = 666.

It is not a de Polignac number, because 72559791 - 2¹ = 72559789 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72559691) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269605 + ... + 269873.

It is an arithmetic number, because the mean of its divisors is an integer number (2432430).

Almost surely, 2^72559791 is an apocalyptic number.

72559791 is a deficient number, since it is larger than the sum of its proper divisors (44196849).

72559791 is a wasteful number, since it uses less digits than its factorization.

72559791 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 373 counting only the distinct ones).

The product of its digits is 198450, while the sum is 45.

The square root of 72559791 is about 8518.2035077826. The cubic root of 72559791 is about 417.0921418799.

It can be divided in two parts, 725 and 59791, that added together give a square (60516 = 246²).

The spelling of 72559791 in words is "seventy-two million, five hundred fifty-nine thousand, seven hundred ninety-one".