73992840 has 256 divisors, whose sum is σ = 261273600. Its totient is φ = 16625664.

The previous prime is 73992839. The next prime is 73992851. The reversal of 73992840 is 4829937.

It is a junction number, because it is equal to n+sod(n) for n = 73992792 and 73992801.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 891439 + ... + 891521.

It is an arithmetic number, because the mean of its divisors is an integer number (1020600).

Almost surely, 2^73992840 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 73992840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130636800).

73992840 is an abundant number, since it is smaller than the sum of its proper divisors (187280760).

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

73992840 is a wasteful number, since it uses less digits than its factorization.

73992840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 73992840 is about 8601.9090904287. The cubic root of 73992840 is about 419.8201043635.

The spelling of 73992840 in words is "seventy-three million, nine hundred ninety-two thousand, eight hundred forty".