73872896 has 40 divisors (see below), whose sum is σ = 148703280. Its totient is φ = 36661248.

The previous prime is 73872847. The next prime is 73872901. The reversal of 73872896 is 69827837.

It is a happy number.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 79925 + ... + 80843.

It is an arithmetic number, because the mean of its divisors is an integer number (3717582).

Almost surely, 2^73872896 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 73872896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74351640).

73872896 is an abundant number, since it is smaller than the sum of its proper divisors (74830384).

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

73872896 is an equidigital number, since it uses as much as digits as its factorization.

73872896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1078 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 50.

The square root of 73872896 is about 8594.9343220295. The cubic root of 73872896 is about 419.5931358445.

The spelling of 73872896 in words is "seventy-three million, eight hundred seventy-two thousand, eight hundred ninety-six".