73708992 has 168 divisors, whose sum is σ = 245193312. Its totient is φ = 20736000.

The previous prime is 73708969. The next prime is 73708993. The reversal of 73708992 is 29980737.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73708993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 407142 + ... + 407322.

It is an arithmetic number, because the mean of its divisors is an integer number (1459484).

Almost surely, 2^73708992 is an apocalyptic number.

73708992 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73708992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122596656).

73708992 is an abundant number, since it is smaller than the sum of its proper divisors (171484320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73708992 is a wasteful number, since it uses less digits than its factorization.

73708992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 73708992 is about 8585.3941086010. The cubic root of 73708992 is about 419.2825847820.

The spelling of 73708992 in words is "seventy-three million, seven hundred eight thousand, nine hundred ninety-two".