72609201 has 12 divisors (see below), whose sum is σ = 119862912. Its totient is φ = 41490936.

The previous prime is 72609197. The next prime is 72609211. The reversal of 72609201 is 10290627.

It is not a de Polignac number, because 72609201 - 2² = 72609197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72609211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 576201 + ... + 576326.

It is an arithmetic number, because the mean of its divisors is an integer number (9988576).

Almost surely, 2^72609201 is an apocalyptic number.

It is an amenable number.

72609201 is a deficient number, since it is larger than the sum of its proper divisors (47253711).

72609201 is a wasteful number, since it uses less digits than its factorization.

72609201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152540 (or 1152537 counting only the distinct ones).

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

The square root of 72609201 is about 8521.1032736378. The cubic root of 72609201 is about 417.1867941494.

Adding to 72609201 its reverse (10290627), we get a palindrome (82899828).

It can be divided in two parts, 7260 and 9201, that added together give a palindrome (16461).

The spelling of 72609201 in words is "seventy-two million, six hundred nine thousand, two hundred one".