73468080 has 320 divisors, whose sum is σ = 298552320. Its totient is φ = 16257024.

The previous prime is 73468069. The next prime is 73468093. The reversal of 73468080 is 8086437.

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 63 ways as a sum of consecutive naturals, for example, 650104 + ... + 650216.

It is an arithmetic number, because the mean of its divisors is an integer number (932976).

Almost surely, 2^73468080 is an apocalyptic number.

73468080 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 73468080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149276160).

73468080 is an abundant number, since it is smaller than the sum of its proper divisors (225084240).

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

73468080 is a wasteful number, since it uses less digits than its factorization.

73468080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 73468080 is about 8571.3522853748. The cubic root of 73468080 is about 418.8252889057.

The spelling of 73468080 in words is "seventy-three million, four hundred sixty-eight thousand, eighty".