73155312 has 100 divisors (see below), whose sum is σ = 216417696. Its totient is φ = 23846400.

The previous prime is 73155311. The next prime is 73155323. The reversal of 73155312 is 21355137.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73155311) 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 19 ways as a sum of consecutive naturals, for example, 60312 + ... + 61512.

Almost surely, 2^73155312 is an apocalyptic number.

73155312 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 73155312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108208848).

73155312 is an abundant number, since it is smaller than the sum of its proper divisors (143262384).

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

73155312 is a wasteful number, since it uses less digits than its factorization.

73155312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1253 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 73155312 is about 8553.0878634561. The cubic root of 73155312 is about 418.2301030802.

The spelling of 73155312 in words is "seventy-three million, one hundred fifty-five thousand, three hundred twelve".