73908240 has 320 divisors, whose sum is σ = 284981760. Its totient is φ = 15482880.

The previous prime is 73908239. The next prime is 73908251. The reversal of 73908240 is 4280937.

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, 1802620 + ... + 1802660.

It is an arithmetic number, because the mean of its divisors is an integer number (890568).

Almost surely, 2^73908240 is an apocalyptic number.

73908240 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 73908240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142490880).

73908240 is an abundant number, since it is smaller than the sum of its proper divisors (211073520).

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

73908240 is a wasteful number, since it uses less digits than its factorization.

73908240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 73908240 is about 8596.9901709843. The cubic root of 73908240 is about 419.6600423651.

The spelling of 73908240 in words is "seventy-three million, nine hundred eight thousand, two hundred forty".