73000824 has 64 divisors (see below), whose sum is σ = 198979200. Its totient is φ = 22183296.

The previous prime is 73000783. The next prime is 73000841. The reversal of 73000824 is 42800037.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 73000794 and 73000803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24487 + ... + 27305.

It is an arithmetic number, because the mean of its divisors is an integer number (3109050).

Almost surely, 2^73000824 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 73000824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99489600).

73000824 is an abundant number, since it is smaller than the sum of its proper divisors (125978376).

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

73000824 is a wasteful number, since it uses less digits than its factorization.

73000824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2924 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 73000824 is about 8544.0519661341. The cubic root of 73000824 is about 417.9354921324.

The spelling of 73000824 in words is "seventy-three million, eight hundred twenty-four", and thus it is an aban number.