73473456 has 160 divisors (see below), whose sum is σ = 242127360. Its totient is φ = 18690048.

The previous prime is 73473451. The next prime is 73473461. The reversal of 73473456 is 65437437.

It is an interprime number because it is at equal distance from previous prime (73473451) and next prime (73473461).

It is not an unprimeable number, because it can be changed into a prime (73473451) 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 31 ways as a sum of consecutive naturals, for example, 108190 + ... + 108866.

It is an arithmetic number, because the mean of its divisors is an integer number (1513296).

Almost surely, 2^73473456 is an apocalyptic number.

73473456 is a gapful number since it is divisible by the number (76) 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 73473456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121063680).

73473456 is an abundant number, since it is smaller than the sum of its proper divisors (168653904).

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

73473456 is a wasteful number, since it uses less digits than its factorization.

73473456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 725 counting only the distinct ones).

The product of its digits is 211680, while the sum is 39.

The square root of 73473456 is about 8571.6658824292. The cubic root of 73473456 is about 418.8355044525.

The spelling of 73473456 in words is "seventy-three million, four hundred seventy-three thousand, four hundred fifty-six".