72777447 has 20 divisors (see below), whose sum is σ = 109727640. Its totient is φ = 48067344.

The previous prime is 72777437. The next prime is 72777449. The reversal of 72777447 is 74477727.

It is not a de Polignac number, because 72777447 - 2⁸ = 72777191 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72777449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4708 + ... + 12950.

It is an arithmetic number, because the mean of its divisors is an integer number (5486382).

Almost surely, 2^72777447 is an apocalyptic number.

72777447 is a deficient number, since it is larger than the sum of its proper divisors (36950193).

72777447 is a wasteful number, since it uses less digits than its factorization.

72777447 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8364 (or 8355 counting only the distinct ones).

The product of its digits is 537824, while the sum is 45.

The square root of 72777447 is about 8530.9698745219. The cubic root of 72777447 is about 417.5087729281.

It can be divided in two parts, 727774 and 47, that added together give a triangular number (727821 = T₁₂₀₆).

The spelling of 72777447 in words is "seventy-two million, seven hundred seventy-seven thousand, four hundred forty-seven".