72577145 has 8 divisors (see below), whose sum is σ = 87167880. Its totient is φ = 58011520.

The previous prime is 72577117. The next prime is 72577157. The reversal of 72577145 is 54177527.

It can be written as a sum of positive squares in 4 ways, for example, as 39904489 + 32672656 = 6317^2 + 5716^2 .

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

It is not a de Polignac number, because 72577145 - 2¹⁶ = 72511609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72577099 and 72577108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 815 + ... + 12075.

It is an arithmetic number, because the mean of its divisors is an integer number (10895985).

Almost surely, 2^72577145 is an apocalyptic number.

It is an amenable number.

72577145 is a deficient number, since it is larger than the sum of its proper divisors (14590735).

72577145 is a wasteful number, since it uses less digits than its factorization.

72577145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12555.

The product of its digits is 68600, while the sum is 38.

The square root of 72577145 is about 8519.2220888999. Note that the first 3 decimals coincide. The cubic root of 72577145 is about 417.1253909653.

The spelling of 72577145 in words is "seventy-two million, five hundred seventy-seven thousand, one hundred forty-five".