72013761 has 12 divisors (see below), whose sum is σ = 104111488. Its totient is φ = 47966904.

The previous prime is 72013741. The next prime is 72013769. The reversal of 72013761 is 16731027.

It is not a de Polignac number, because 72013761 - 2⁷ = 72013633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72013769) 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 11 ways as a sum of consecutive naturals, for example, 9996 + ... + 15618.

Almost surely, 2^72013761 is an apocalyptic number.

It is an amenable number.

72013761 is a deficient number, since it is larger than the sum of its proper divisors (32097727).

72013761 is a wasteful number, since it uses less digits than its factorization.

72013761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7052 (or 7049 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 72013761 is about 8486.0922101990. The cubic root of 72013761 is about 416.0432666568.

Adding to 72013761 its reverse (16731027), we get a palindrome (88744788).

The spelling of 72013761 in words is "seventy-two million, thirteen thousand, seven hundred sixty-one".