72577193 has 8 divisors (see below), whose sum is σ = 79635528. Its totient is φ = 65729664.

The previous prime is 72577189. The next prime is 72577223. The reversal of 72577193 is 39177527.

It can be written as a sum of positive squares in 4 ways, for example, as 26296384 + 46280809 = 5128^2 + 6803^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 72577193 - 2² = 72577189 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72577193.

It is not an unprimeable number, because it can be changed into a prime (72577793) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51980 + ... + 53357.

It is an arithmetic number, because the mean of its divisors is an integer number (9954441).

Almost surely, 2^72577193 is an apocalyptic number.

It is an amenable number.

72577193 is a deficient number, since it is larger than the sum of its proper divisors (7058335).

72577193 is a wasteful number, since it uses less digits than its factorization.

72577193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105403.

The product of its digits is 92610, while the sum is 41.

The square root of 72577193 is about 8519.2249060581. The cubic root of 72577193 is about 417.1254829227.

The spelling of 72577193 in words is "seventy-two million, five hundred seventy-seven thousand, one hundred ninety-three".