73866240 has 264 divisors, whose sum is σ = 293785440. Its totient is φ = 16809984.

The previous prime is 73866239. The next prime is 73866251. The reversal of 73866240 is 4266837.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 73866195 and 73866204.

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, 322446 + ... + 322674.

Almost surely, 2^73866240 is an apocalyptic number.

73866240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73866240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146892720).

73866240 is an abundant number, since it is smaller than the sum of its proper divisors (219919200).

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

73866240 is a wasteful number, since it uses less digits than its factorization.

73866240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 73866240 is about 8594.5471084869. The cubic root of 73866240 is about 419.5805335869.

The spelling of 73866240 in words is "seventy-three million, eight hundred sixty-six thousand, two hundred forty".