73719828 has 144 divisors (see below), whose sum is σ = 236933760. Its totient is φ = 19408896.

The previous prime is 73719823. The next prime is 73719869. The reversal of 73719828 is 82891737.

It is a super-2 number, since 2×73719828² = 10869226080699168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73719823) 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, 127476 + ... + 128052.

Almost surely, 2^73719828 is an apocalyptic number.

73719828 is a gapful number since it is divisible by the number (78) 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 73719828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118466880).

73719828 is an abundant number, since it is smaller than the sum of its proper divisors (163213932).

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

73719828 is a wasteful number, since it uses less digits than its factorization.

73719828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 602 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 73719828 is about 8586.0251571958. The cubic root of 73719828 is about 419.3031300974.

It can be divided in two parts, 73719 and 828, that added together give a palindrome (74547).

The spelling of 73719828 in words is "seventy-three million, seven hundred nineteen thousand, eight hundred twenty-eight".