73090080 has 192 divisors, whose sum is σ = 292481280. Its totient is φ = 16699392.

The previous prime is 73090037. The next prime is 73090081. The reversal of 73090080 is 8009037.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (73090081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29032 + ... + 31448.

It is an arithmetic number, because the mean of its divisors is an integer number (1523340).

Almost surely, 2^73090080 is an apocalyptic number.

73090080 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 73090080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146240640).

73090080 is an abundant number, since it is smaller than the sum of its proper divisors (219391200).

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

73090080 is a wasteful number, since it uses less digits than its factorization.

73090080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 73090080 is about 8549.2736533579. The cubic root of 73090080 is about 418.1057553129.

The spelling of 73090080 in words is "seventy-three million, ninety thousand, eighty".