73734880 has 24 divisors (see below), whose sum is σ = 174199032. Its totient is φ = 29493888.

The previous prime is 73734863. The next prime is 73734883. The reversal of 73734880 is 8843737.

It is a super-2 number, since 2×73734880² = 10873665057228800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73734883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 230262 + ... + 230581.

It is an arithmetic number, because the mean of its divisors is an integer number (7258293).

Almost surely, 2^73734880 is an apocalyptic number.

It is an amenable number.

73734880 is an abundant number, since it is smaller than the sum of its proper divisors (100464152).

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

73734880 is a wasteful number, since it uses less digits than its factorization.

73734880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460858 (or 460850 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 73734880 is about 8586.9016530993. The cubic root of 73734880 is about 419.3316657094.

The spelling of 73734880 in words is "seventy-three million, seven hundred thirty-four thousand, eight hundred eighty".