72777723 has 8 divisors (see below), whose sum is σ = 98265600. Its totient is φ = 47904168.

The previous prime is 72777721. The next prime is 72777737. The reversal of 72777723 is 32777727.

It is a happy number.

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

It is not a de Polignac number, because 72777723 - 2¹ = 72777721 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72777721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153303 + ... + 153776.

It is an arithmetic number, because the mean of its divisors is an integer number (12283200).

Almost surely, 2^72777723 is an apocalyptic number.

72777723 is a deficient number, since it is larger than the sum of its proper divisors (25487877).

72777723 is a wasteful number, since it uses less digits than its factorization.

72777723 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307161.

The product of its digits is 201684, while the sum is 42.

The square root of 72777723 is about 8530.9860508619. The cubic root of 72777723 is about 417.5093007119.

The spelling of 72777723 in words is "seventy-two million, seven hundred seventy-seven thousand, seven hundred twenty-three".