73315872 has 144 divisors (see below), whose sum is σ = 244363392. Its totient is φ = 20413440.

The previous prime is 73315859. The next prime is 73315873. The reversal of 73315872 is 27851337.

73315872 is a `hidden beast` number, since 73 + 3 + 1 + 587 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (73315873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82213 + ... + 83099.

It is an arithmetic number, because the mean of its divisors is an integer number (1696968).

Almost surely, 2^73315872 is an apocalyptic number.

73315872 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 73315872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122181696).

73315872 is an abundant number, since it is smaller than the sum of its proper divisors (171047520).

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

73315872 is a wasteful number, since it uses less digits than its factorization.

73315872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 940 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 73315872 is about 8562.4688028629. The cubic root of 73315872 is about 418.5358542099.

It can be divided in two parts, 7331 and 5872, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 73315872 in words is "seventy-three million, three hundred fifteen thousand, eight hundred seventy-two".