72137761 has 16 divisors (see below), whose sum is σ = 76573440. Its totient is φ = 67858560.

The previous prime is 72137743. The next prime is 72137881. The reversal of 72137761 is 16773127.

It is a cyclic number.

It is not a de Polignac number, because 72137761 - 2¹³ = 72129569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72137711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266056 + ... + 266326.

It is an arithmetic number, because the mean of its divisors is an integer number (4785840).

Almost surely, 2^72137761 is an apocalyptic number.

It is an amenable number.

72137761 is a deficient number, since it is larger than the sum of its proper divisors (4435679).

72137761 is a wasteful number, since it uses less digits than its factorization.

72137761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504.

The product of its digits is 12348, while the sum is 34.

The square root of 72137761 is about 8493.3951397542. The cubic root of 72137761 is about 416.2819237420.

The spelling of 72137761 in words is "seventy-two million, one hundred thirty-seven thousand, seven hundred sixty-one".