72590367 has 8 divisors (see below), whose sum is σ = 97156224. Its totient is φ = 48209048.

The previous prime is 72590347. The next prime is 72590429. The reversal of 72590367 is 76309527.

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

It is a cyclic number.

It is not a de Polignac number, because 72590367 - 2⁶ = 72590303 is a prime.

It is a super-2 number, since 2×72590367² = 10538722762389378, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72590347) 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, 45213 + ... + 46790.

It is an arithmetic number, because the mean of its divisors is an integer number (12144528).

Almost surely, 2^72590367 is an apocalyptic number.

72590367 is a deficient number, since it is larger than the sum of its proper divisors (24565857).

72590367 is a wasteful number, since it uses less digits than its factorization.

72590367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92269.

The product of its (nonzero) digits is 79380, while the sum is 39.

The square root of 72590367 is about 8519.9980633801. The cubic root of 72590367 is about 417.1507198620.

The spelling of 72590367 in words is "seventy-two million, five hundred ninety thousand, three hundred sixty-seven".