73258920 has 144 divisors (see below), whose sum is σ = 277030260. Its totient is φ = 16740864.

The previous prime is 73258909. The next prime is 73258937. The reversal of 73258920 is 2985237.

It is a happy number.

73258920 is a `hidden beast` number, since 73 + 2 + 589 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 61685316 + 11573604 = 7854^2 + 3402^2 .

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 35 ways as a sum of consecutive naturals, for example, 15564 + ... + 19716.

Almost surely, 2^73258920 is an apocalyptic number.

73258920 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 73258920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138515130).

73258920 is an abundant number, since it is smaller than the sum of its proper divisors (203771340).

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

73258920 is a wasteful number, since it uses less digits than its factorization.

73258920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4184 (or 4170 counting only the distinct ones).

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

The square root of 73258920 is about 8559.1424804124. The cubic root of 73258920 is about 418.4274528135.

The spelling of 73258920 in words is "seventy-three million, two hundred fifty-eight thousand, nine hundred twenty".