72771006 has 32 divisors (see below), whose sum is σ = 181456128. Its totient is φ = 18901440.

The previous prime is 72771001. The next prime is 72771019. The reversal of 72771006 is 60017727.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72771001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78295 + ... + 79218.

It is an arithmetic number, because the mean of its divisors is an integer number (5670504).

Almost surely, 2^72771006 is an apocalyptic number.

72771006 is an abundant number, since it is smaller than the sum of its proper divisors (108685122).

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

72771006 is a wasteful number, since it uses less digits than its factorization.

72771006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157536.

The product of its (nonzero) digits is 4116, while the sum is 30.

The square root of 72771006 is about 8530.5923592679. The cubic root of 72771006 is about 417.4964556812.

The spelling of 72771006 in words is "seventy-two million, seven hundred seventy-one thousand, six".