73866870 has 384 divisors, whose sum is σ = 275788800. Its totient is φ = 13685760.

The previous prime is 73866847. The next prime is 73866901. The reversal of 73866870 is 7866837.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3887721 + ... + 3887739.

It is an arithmetic number, because the mean of its divisors is an integer number (718200).

Almost surely, 2^73866870 is an apocalyptic number.

73866870 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 73866870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137894400).

73866870 is an abundant number, since it is smaller than the sum of its proper divisors (201921930).

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

73866870 is a wasteful number, since it uses less digits than its factorization.

73866870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 73866870 is about 8594.5837595546. The cubic root of 73866870 is about 419.5817264412.

The spelling of 73866870 in words is "seventy-three million, eight hundred sixty-six thousand, eight hundred seventy".