73996416 has 224 divisors, whose sum is σ = 241924620. Its totient is φ = 22394880.

The previous prime is 73996381. The next prime is 73996459. The reversal of 73996416 is 61469937.

It can be written as a sum of positive squares in 2 ways, for example, as 57153600 + 16842816 = 7560^2 + 4104^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1213026 + ... + 1213086.

Almost surely, 2^73996416 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 73996416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120962310).

73996416 is an abundant number, since it is smaller than the sum of its proper divisors (167928204).

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

73996416 is an equidigital number, since it uses as much as digits as its factorization.

73996416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 79 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 73996416 is about 8602.1169487516. The cubic root of 73996416 is about 419.8268674165.

The spelling of 73996416 in words is "seventy-three million, nine hundred ninety-six thousand, four hundred sixteen".