72616271 has 16 divisors (see below), whose sum is σ = 94080000. Its totient is φ = 54429408.

The previous prime is 72616249. The next prime is 72616277. The reversal of 72616271 is 17261627.

It is a cyclic number.

It is not a de Polignac number, because 72616271 - 2²² = 68421967 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72616277) 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, 19271 + ... + 22728.

It is an arithmetic number, because the mean of its divisors is an integer number (5880000).

Almost surely, 2^72616271 is an apocalyptic number.

72616271 is a deficient number, since it is larger than the sum of its proper divisors (21463729).

72616271 is a wasteful number, since it uses less digits than its factorization.

72616271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42038.

The product of its digits is 7056, while the sum is 32.

The square root of 72616271 is about 8521.5181159228. The cubic root of 72616271 is about 417.2003342833.

Adding to 72616271 its reverse (17261627), we get a palindrome (89877898).

The spelling of 72616271 in words is "seventy-two million, six hundred sixteen thousand, two hundred seventy-one".