72590051 has 8 divisors (see below), whose sum is σ = 80905680. Its totient is φ = 64723968.

The previous prime is 72590033. The next prime is 72590053. The reversal of 72590051 is 15009527.

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 72590051 - 2¹⁴ = 72573667 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72589996 and 72590023.

It is not an unprimeable number, because it can be changed into a prime (72590053) 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, 112046 + ... + 112691.

It is an arithmetic number, because the mean of its divisors is an integer number (10113210).

Almost surely, 2^72590051 is an apocalyptic number.

72590051 is a deficient number, since it is larger than the sum of its proper divisors (8315629).

72590051 is a wasteful number, since it uses less digits than its factorization.

72590051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224773.

The product of its (nonzero) digits is 3150, while the sum is 29.

The square root of 72590051 is about 8519.9795187547. The cubic root of 72590051 is about 417.1501145484.

Adding to 72590051 its reverse (15009527), we get a palindrome (87599578).

The spelling of 72590051 in words is "seventy-two million, five hundred ninety thousand, fifty-one".