73797984 has 144 divisors (see below), whose sum is σ = 236107872. Its totient is φ = 21694464.

The previous prime is 73797979. The next prime is 73798001. The reversal of 73797984 is 48979737.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×73797984² = 10892284884928512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 73797984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85684 + ... + 86540.

It is an arithmetic number, because the mean of its divisors is an integer number (1639638).

Almost surely, 2^73797984 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 73797984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118053936).

73797984 is an abundant number, since it is smaller than the sum of its proper divisors (162309888).

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

73797984 is a wasteful number, since it uses less digits than its factorization.

73797984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 898 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 54.

The square root of 73797984 is about 8590.5753008748. The cubic root of 73797984 is about 419.4512561494.

The spelling of 73797984 in words is "seventy-three million, seven hundred ninety-seven thousand, nine hundred eighty-four".