72559825 has 48 divisors (see below), whose sum is σ = 107243136. Its totient is φ = 48153600.

The previous prime is 72559819. The next prime is 72559829. The reversal of 72559825 is 52895527.

72559825 = 336² + 337² + ... + 634².

It is a de Polignac number, because none of the positive numbers 2^k-72559825 is a prime.

It is a super-3 number, since 3×72559825³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72559829) 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, 126790 + ... + 127360.

It is an arithmetic number, because the mean of its divisors is an integer number (2234232).

Almost surely, 2^72559825 is an apocalyptic number.

It is an amenable number.

72559825 is a deficient number, since it is larger than the sum of its proper divisors (34683311).

72559825 is a wasteful number, since it uses less digits than its factorization.

72559825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 629 counting only the distinct ones).

The product of its digits is 252000, while the sum is 43.

The square root of 72559825 is about 8518.2055035084. The cubic root of 72559825 is about 417.0922070268.

The spelling of 72559825 in words is "seventy-two million, five hundred fifty-nine thousand, eight hundred twenty-five".