72106577 has 16 divisors (see below), whose sum is σ = 78395520. Its totient is φ = 66096000.

The previous prime is 72106549. The next prime is 72106579. The reversal of 72106577 is 77560127.

It is a cyclic number.

It is not a de Polignac number, because 72106577 - 2⁶ = 72106513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72106579) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117323 + ... + 117935.

It is an arithmetic number, because the mean of its divisors is an integer number (4899720).

Almost surely, 2^72106577 is an apocalyptic number.

It is an amenable number.

72106577 is a deficient number, since it is larger than the sum of its proper divisors (6288943).

72106577 is a wasteful number, since it uses less digits than its factorization.

72106577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824.

The product of its (nonzero) digits is 20580, while the sum is 35.

The square root of 72106577 is about 8491.5591618972. The cubic root of 72106577 is about 416.2219310913.

The spelling of 72106577 in words is "seventy-two million, one hundred six thousand, five hundred seventy-seven".