72577106 has 16 divisors (see below), whose sum is σ = 124575360. Its totient is φ = 31065120.

The previous prime is 72577079. The next prime is 72577117. The reversal of 72577106 is 60177527.

It is a super-4 number, since 4×72577106⁴ (a number of 33 digits) contains 4444 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10046 + ... + 15686.

It is an arithmetic number, because the mean of its divisors is an integer number (7785960).

Almost surely, 2^72577106 is an apocalyptic number.

72577106 is a deficient number, since it is larger than the sum of its proper divisors (51998254).

72577106 is a wasteful number, since it uses less digits than its factorization.

72577106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6569.

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

The square root of 72577106 is about 8519.2197999582. The cubic root of 72577106 is about 417.1253162499.

The spelling of 72577106 in words is "seventy-two million, five hundred seventy-seven thousand, one hundred six".