73782896 has 60 divisors (see below), whose sum is σ = 164062416. Its totient is φ = 32060160.

The previous prime is 73782893. The next prime is 73782899. The reversal of 73782896 is 69828737.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (73782893) and next prime (73782899).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73782893) 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 11 ways as a sum of consecutive naturals, for example, 43700 + ... + 45356.

Almost surely, 2^73782896 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 73782896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82031208).

73782896 is an abundant number, since it is smaller than the sum of its proper divisors (90279520).

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

73782896 is a wasteful number, since it uses less digits than its factorization.

73782896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1693 counting only the distinct ones).

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

The square root of 73782896 is about 8589.6970842981. The cubic root of 73782896 is about 419.4226685939.

The spelling of 73782896 in words is "seventy-three million, seven hundred eighty-two thousand, eight hundred ninety-six".