72509985 has 64 divisors (see below), whose sum is σ = 137760000. Its totient is φ = 36531648.

The previous prime is 72509963. The next prime is 72509993. The reversal of 72509985 is 58990527.

It is a happy number.

It is not a de Polignac number, because 72509985 - 2⁸ = 72509729 is a prime.

It is a super-3 number, since 3×72509985³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 72509985.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 207591 + ... + 207939.

It is an arithmetic number, because the mean of its divisors is an integer number (2152500).

Almost surely, 2^72509985 is an apocalyptic number.

It is an amenable number.

72509985 is a deficient number, since it is larger than the sum of its proper divisors (65250015).

72509985 is an equidigital number, since it uses as much as digits as its factorization.

72509985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 72509985 is about 8515.2795021655. The cubic root of 72509985 is about 416.9966875157.

The spelling of 72509985 in words is "seventy-two million, five hundred nine thousand, nine hundred eighty-five".