73983872 has 64 divisors (see below), whose sum is σ = 160650000. Its totient is φ = 33804288.

The previous prime is 73983869. The next prime is 73983883. The reversal of 73983872 is 27838937.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×73983872² = 10947226632224768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70004 + ... + 71052.

Almost surely, 2^73983872 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 73983872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80325000).

73983872 is an abundant number, since it is smaller than the sum of its proper divisors (86666128).

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

73983872 is a wasteful number, since it uses less digits than its factorization.

73983872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1099 counting only the distinct ones).

The product of its digits is 508032, while the sum is 47.

The square root of 73983872 is about 8601.3877950015. The cubic root of 73983872 is about 419.8031428178.

The spelling of 73983872 in words is "seventy-three million, nine hundred eighty-three thousand, eight hundred seventy-two".