73314752 has 56 divisors (see below), whose sum is σ = 171663360. Its totient is φ = 30401280.

The previous prime is 73314751. The next prime is 73314763. The reversal of 73314752 is 25741337.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73314751) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11249 + ... + 16527.

Almost surely, 2^73314752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73314752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85831680).

73314752 is an abundant number, since it is smaller than the sum of its proper divisors (98348608).

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

73314752 is a wasteful number, since it uses less digits than its factorization.

73314752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5329 (or 5319 counting only the distinct ones).

The product of its digits is 17640, while the sum is 32.

The square root of 73314752 is about 8562.4034009150. The cubic root of 73314752 is about 418.5337229636.

The spelling of 73314752 in words is "seventy-three million, three hundred fourteen thousand, seven hundred fifty-two".