72205637 has 8 divisors (see below), whose sum is σ = 82604736. Its totient is φ = 61827552.

The previous prime is 72205619. The next prime is 72205649. The reversal of 72205637 is 73650227.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72205637 - 2⁸ = 72205381 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72205697) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2978 + ... + 12380.

It is an arithmetic number, because the mean of its divisors is an integer number (10325592).

Almost surely, 2^72205637 is an apocalyptic number.

It is an amenable number.

72205637 is a deficient number, since it is larger than the sum of its proper divisors (10399099).

72205637 is a wasteful number, since it uses less digits than its factorization.

72205637 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10507.

The product of its (nonzero) digits is 17640, while the sum is 32.

The square root of 72205637 is about 8497.3900110563. The cubic root of 72205637 is about 416.4124457415.

The spelling of 72205637 in words is "seventy-two million, two hundred five thousand, six hundred thirty-seven".