72872768 has 14 divisors (see below), whose sum is σ = 144607026. Its totient is φ = 36436352.

The previous prime is 72872753. The next prime is 72872777. The reversal of 72872768 is 86727827.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 70023424 + 2849344 = 8368^2 + 1688^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 569255 + ... + 569382.

Almost surely, 2^72872768 is an apocalyptic number.

It is an amenable number.

72872768 is a deficient number, since it is larger than the sum of its proper divisors (71734258).

72872768 is a wasteful number, since it uses less digits than its factorization.

72872768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138649 (or 1138639 counting only the distinct ones).

The product of its digits is 526848, while the sum is 47.

The square root of 72872768 is about 8536.5548085864. The cubic root of 72872768 is about 417.6909721900.

The spelling of 72872768 in words is "seventy-two million, eight hundred seventy-two thousand, seven hundred sixty-eight".