73400688 has 40 divisors (see below), whose sum is σ = 210688400. Its totient is φ = 24466752.

The previous prime is 73400687. The next prime is 73400729. The reversal of 73400688 is 88600437.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73400687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84523 + ... + 85386.

It is an arithmetic number, because the mean of its divisors is an integer number (5267210).

Almost surely, 2^73400688 is an apocalyptic number.

It is an amenable number.

73400688 is an abundant number, since it is smaller than the sum of its proper divisors (137287712).

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

73400688 is a wasteful number, since it uses less digits than its factorization.

73400688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169926 (or 169914 counting only the distinct ones).

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

The square root of 73400688 is about 8567.4201484461. The cubic root of 73400688 is about 418.6971874288.

It can be divided in two parts, 73400 and 688, that added together give a cube (74088 = 42³).

The spelling of 73400688 in words is "seventy-three million, four hundred thousand, six hundred eighty-eight".