73734864 has 80 divisors (see below), whose sum is σ = 224747520. Its totient is φ = 20384640.

The previous prime is 73734863. The next prime is 73734883. The reversal of 73734864 is 46843737.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73734863) 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 15 ways as a sum of consecutive naturals, for example, 6877 + ... + 13955.

It is an arithmetic number, because the mean of its divisors is an integer number (2809344).

Almost surely, 2^73734864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73734864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112373760).

73734864 is an abundant number, since it is smaller than the sum of its proper divisors (151012656).

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

73734864 is a wasteful number, since it uses less digits than its factorization.

73734864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7128 (or 7122 counting only the distinct ones).

The product of its digits is 338688, while the sum is 42.

The square root of 73734864 is about 8586.9007214478. The cubic root of 73734864 is about 419.3316353786.

The spelling of 73734864 in words is "seventy-three million, seven hundred thirty-four thousand, eight hundred sixty-four".