73256832 has 256 divisors, whose sum is σ = 246758400. Its totient is φ = 21196800.

The previous prime is 73256803. The next prime is 73256861. The reversal of 73256832 is 23865237.

It is an interprime number because it is at equal distance from previous prime (73256803) and next prime (73256861).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1558633 + ... + 1558679.

It is an arithmetic number, because the mean of its divisors is an integer number (963900).

Almost surely, 2^73256832 is an apocalyptic number.

73256832 is a gapful number since it is divisible by the number (72) 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 73256832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123379200).

73256832 is an abundant number, since it is smaller than the sum of its proper divisors (173501568).

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

73256832 is a wasteful number, since it uses less digits than its factorization.

73256832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 104 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 73256832 is about 8559.0205047073. The cubic root of 73256832 is about 418.4234774850.

It can be divided in two parts, 73256 and 832, that added together give a cube (74088 = 42³).

The spelling of 73256832 in words is "seventy-three million, two hundred fifty-six thousand, eight hundred thirty-two".