72577713 has 8 divisors (see below), whose sum is σ = 104214208. Its totient is φ = 44663184.

The previous prime is 72577651. The next prime is 72577717. The reversal of 72577713 is 31777527.

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

It is not a de Polignac number, because 72577713 - 2⁶ = 72577649 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39), and also a Moran number because the ratio is a prime number: 1860967 = 72577713 / (7 + 2 + 5 + 7 + 7 + 7 + 1 + 3).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72577717) by changing a digit.

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, 930445 + ... + 930522.

It is an arithmetic number, because the mean of its divisors is an integer number (13026776).

Almost surely, 2^72577713 is an apocalyptic number.

It is an amenable number.

72577713 is a deficient number, since it is larger than the sum of its proper divisors (31636495).

72577713 is a wasteful number, since it uses less digits than its factorization.

72577713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860983.

The product of its digits is 72030, while the sum is 39.

The square root of 72577713 is about 8519.2554252118. The cubic root of 72577713 is about 417.1264791251.

The spelling of 72577713 in words is "seventy-two million, five hundred seventy-seven thousand, seven hundred thirteen".