73339968 has 56 divisors (see below), whose sum is σ = 208979008. Its totient is φ = 22565376.

The previous prime is 73339967. The next prime is 73339991. The reversal of 73339968 is 86993337.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (73339967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12196 + ... + 17187.

It is an arithmetic number, because the mean of its divisors is an integer number (3731768).

Almost surely, 2^73339968 is an apocalyptic number.

73339968 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

73339968 is an abundant number, since it is smaller than the sum of its proper divisors (135639040).

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

73339968 is a wasteful number, since it uses less digits than its factorization.

73339968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29411 (or 29401 counting only the distinct ones).

The product of its digits is 734832, while the sum is 48.

The square root of 73339968 is about 8563.8757580899. The cubic root of 73339968 is about 418.5817011960.

The spelling of 73339968 in words is "seventy-three million, three hundred thirty-nine thousand, nine hundred sixty-eight".