73144890 has 192 divisors, whose sum is σ = 242438400. Its totient is φ = 15365376.

The previous prime is 73144867. The next prime is 73144891. The reversal of 73144890 is 9844137.

It is a happy number.

It is a super-2 number, since 2×73144890² = 10700349866224200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (73144891) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 319296 + ... + 319524.

It is an arithmetic number, because the mean of its divisors is an integer number (1262700).

Almost surely, 2^73144890 is an apocalyptic number.

73144890 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 73144890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121219200).

73144890 is an abundant number, since it is smaller than the sum of its proper divisors (169293510).

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

73144890 is a wasteful number, since it uses less digits than its factorization.

73144890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 73144890 is about 8552.4785881053. The cubic root of 73144890 is about 418.2102412227.

The spelling of 73144890 in words is "seventy-three million, one hundred forty-four thousand, eight hundred ninety".