73906896 has 120 divisors (see below), whose sum is σ = 226027200. Its totient is φ = 20801088.

The previous prime is 73906891. The next prime is 73906897. The reversal of 73906896 is 69860937.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73906891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1103055 + ... + 1103121.

It is an arithmetic number, because the mean of its divisors is an integer number (1883560).

Almost surely, 2^73906896 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 73906896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113013600).

73906896 is an abundant number, since it is smaller than the sum of its proper divisors (152120304).

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

73906896 is an equidigital number, since it uses as much as digits as its factorization.

73906896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 73906896 is about 8596.9120037372. The cubic root of 73906896 is about 419.6574985507.

The spelling of 73906896 in words is "seventy-three million, nine hundred six thousand, eight hundred ninety-six".