73384920 has 256 divisors, whose sum is σ = 296524800. Its totient is φ = 15759360.

The previous prime is 73384919. The next prime is 73384921. The reversal of 73384920 is 2948337.

It is an interprime number because it is at equal distance from previous prime (73384919) and next prime (73384921).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73384921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128235 + ... + 128805.

It is an arithmetic number, because the mean of its divisors is an integer number (1158300).

Almost surely, 2^73384920 is an apocalyptic number.

73384920 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 73384920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148262400).

73384920 is an abundant number, since it is smaller than the sum of its proper divisors (223139880).

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

73384920 is a wasteful number, since it uses less digits than its factorization.

73384920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 73384920 is about 8566.4998686745. The cubic root of 73384920 is about 418.6672036497.

The spelling of 73384920 in words is "seventy-three million, three hundred eighty-four thousand, nine hundred twenty".