73696896 has 384 divisors, whose sum is σ = 282172800. Its totient is φ = 17915904.

The previous prime is 73696891. The next prime is 73696907. The reversal of 73696896 is 69869637.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×73696896³ (a number of 25 digits) contains 333 as substring.

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

Its product of digits (2939328) is a multiple of the sum of its prime divisors (81).

It is not an unprimeable number, because it can be changed into a prime (73696891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1991790 + ... + 1991826.

It is an arithmetic number, because the mean of its divisors is an integer number (734825).

Almost surely, 2^73696896 is an apocalyptic number.

73696896 is a gapful number since it is divisible by the number (76) 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 73696896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141086400).

73696896 is an abundant number, since it is smaller than the sum of its proper divisors (208475904).

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

73696896 is a wasteful number, since it uses less digits than its factorization.

73696896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 81 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 73696896 is about 8584.6896274705. The cubic root of 73696896 is about 419.2596480979.

The spelling of 73696896 in words is "seventy-three million, six hundred ninety-six thousand, eight hundred ninety-six".