72806573 has 8 divisors (see below), whose sum is σ = 83264640. Its totient is φ = 62362800.

The previous prime is 72806567. The next prime is 72806579. The reversal of 72806573 is 37560827.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72806567) and next prime (72806579).

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 72806573 - 2⁶ = 72806509 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72806579) 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, 11723 + ... + 16823.

It is an arithmetic number, because the mean of its divisors is an integer number (10408080).

Almost surely, 2^72806573 is an apocalyptic number.

It is an amenable number.

72806573 is a deficient number, since it is larger than the sum of its proper divisors (10458067).

72806573 is a wasteful number, since it uses less digits than its factorization.

72806573 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7147.

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 72806573 is about 8532.6767781277. The cubic root of 72806573 is about 417.5644620606.

The spelling of 72806573 in words is "seventy-two million, eight hundred six thousand, five hundred seventy-three".