73825920 has 192 divisors, whose sum is σ = 291507840. Its totient is φ = 16865280.

The previous prime is 73825919. The next prime is 73825943. The reversal of 73825920 is 2952837.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

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, 39405 + ... + 41235.

It is an arithmetic number, because the mean of its divisors is an integer number (1518270).

Almost surely, 2^73825920 is an apocalyptic number.

73825920 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 73825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145753920).

73825920 is an abundant number, since it is smaller than the sum of its proper divisors (217681920).

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

73825920 is a wasteful number, since it uses less digits than its factorization.

73825920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1863 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 73825920 is about 8592.2011149647. The cubic root of 73825920 is about 419.5041768002.

The spelling of 73825920 in words is "seventy-three million, eight hundred twenty-five thousand, nine hundred twenty".