73681407 has 20 divisors (see below), whose sum is σ = 110308440. Its totient is φ = 49013424.

The previous prime is 73681381. The next prime is 73681423. The reversal of 73681407 is 70418637.

It is not a de Polignac number, because 73681407 - 2⁸ = 73681151 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73611407) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56788 + ... + 58070.

It is an arithmetic number, because the mean of its divisors is an integer number (5515422).

Almost surely, 2^73681407 is an apocalyptic number.

73681407 is a deficient number, since it is larger than the sum of its proper divisors (36627033).

73681407 is a wasteful number, since it uses less digits than its factorization.

73681407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004 (or 1995 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 73681407 is about 8583.7874507702. The cubic root of 73681407 is about 419.2302738726.

It can be divided in two parts, 73681 and 407, that added together give a cube (74088 = 42³).

The spelling of 73681407 in words is "seventy-three million, six hundred eighty-one thousand, four hundred seven".