73728008 has 16 divisors (see below), whose sum is σ = 138454380. Its totient is φ = 36806848.

The previous prime is 73727981. The next prime is 73728019. The reversal of 73728008 is 80082737.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 73650724 + 77284 = 8582^2 + 278^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1391 + ... + 12222.

Almost surely, 2^73728008 is an apocalyptic number.

It is an amenable number.

73728008 is a deficient number, since it is larger than the sum of its proper divisors (64726372).

73728008 is a wasteful number, since it uses less digits than its factorization.

73728008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14296 (or 14292 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 73728008 is about 8586.5014994467. The cubic root of 73728008 is about 419.3186382398.

It can be divided in two parts, 7372800 and 8, that multiplied together give a square (58982400 = 7680²).

The spelling of 73728008 in words is "seventy-three million, seven hundred twenty-eight thousand, eight".