73876320 has 288 divisors, whose sum is σ = 301644000. Its totient is φ = 16837632.

The previous prime is 73876303. The next prime is 73876337. The reversal of 73876320 is 2367837.

It is an interprime number because it is at equal distance from previous prime (73876303) and next prime (73876337).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211506 + ... + 211854.

It is an arithmetic number, because the mean of its divisors is an integer number (1047375).

Almost surely, 2^73876320 is an apocalyptic number.

73876320 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 73876320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150822000).

73876320 is an abundant number, since it is smaller than the sum of its proper divisors (227767680).

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

73876320 is a wasteful number, since it uses less digits than its factorization.

73876320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 73876320 is about 8595.1335068165. The cubic root of 73876320 is about 419.5996184418.

The spelling of 73876320 in words is "seventy-three million, eight hundred seventy-six thousand, three hundred twenty".