72810006 has 32 divisors (see below), whose sum is σ = 150580320. Its totient is φ = 23452416.

The previous prime is 72809959. The next prime is 72810029. The reversal of 72810006 is 60001827.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33810 + ... + 35898.

It is an arithmetic number, because the mean of its divisors is an integer number (4705635).

Almost surely, 2^72810006 is an apocalyptic number.

72810006 is an abundant number, since it is smaller than the sum of its proper divisors (77770314).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72810006 is a wasteful number, since it uses less digits than its factorization.

72810006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288.

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 72810006 is about 8532.8779435780. The cubic root of 72810006 is about 417.5710250041.

The spelling of 72810006 in words is "seventy-two million, eight hundred ten thousand, six".