72610209 has 48 divisors (see below), whose sum is σ = 127059840. Its totient is φ = 40854240.

The previous prime is 72610201. The next prime is 72610211. The reversal of 72610209 is 90201627.

It is not a de Polignac number, because 72610209 - 2³ = 72610201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (72610201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93547 + ... + 94319.

It is an arithmetic number, because the mean of its divisors is an integer number (2647080).

Almost surely, 2^72610209 is an apocalyptic number.

It is an amenable number.

72610209 is a deficient number, since it is larger than the sum of its proper divisors (54449631).

72610209 is a wasteful number, since it uses less digits than its factorization.

72610209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 72610209 is about 8521.1624207029. The cubic root of 72610209 is about 417.1887246776.

The spelling of 72610209 in words is "seventy-two million, six hundred ten thousand, two hundred nine".