72137605 has 16 divisors (see below), whose sum is σ = 89535600. Its totient is φ = 55752192.

The previous prime is 72137603. The next prime is 72137669. The reversal of 72137605 is 50673127.

It can be written as a sum of positive squares in 8 ways, for example, as 4519876 + 67617729 = 2126^2 + 8223^2 .

It is not a de Polignac number, because 72137605 - 2¹ = 72137603 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72137603) 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 15 ways as a sum of consecutive naturals, for example, 26257 + ... + 28873.

It is an arithmetic number, because the mean of its divisors is an integer number (5595975).

Almost surely, 2^72137605 is an apocalyptic number.

It is an amenable number.

72137605 is a deficient number, since it is larger than the sum of its proper divisors (17397995).

72137605 is a wasteful number, since it uses less digits than its factorization.

72137605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808.

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 72137605 is about 8493.3859561426. The cubic root of 72137605 is about 416.2816236679.

The spelling of 72137605 in words is "seventy-two million, one hundred thirty-seven thousand, six hundred five".