73397376 has 192 divisors, whose sum is σ = 236691000. Its totient is φ = 21805056.

The previous prime is 73397353. The next prime is 73397377. The reversal of 73397376 is 67379337.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3240000 + 70157376 = 1800^2 + 8376^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (73397377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2530930 + ... + 2530958.

Almost surely, 2^73397376 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 73397376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118345500).

73397376 is an abundant number, since it is smaller than the sum of its proper divisors (163293624).

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

73397376 is a wasteful number, since it uses less digits than its factorization.

73397376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 47 counting only the distinct ones).

The product of its digits is 500094, while the sum is 45.

The square root of 73397376 is about 8567.2268558735. The cubic root of 73397376 is about 418.6908898224.

The spelling of 73397376 in words is "seventy-three million, three hundred ninety-seven thousand, three hundred seventy-six".