73765312 has 56 divisors (see below), whose sum is σ = 156362400. Its totient is φ = 34406400.

The previous prime is 73765291. The next prime is 73765313. The reversal of 73765312 is 21356737.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73765313) 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, 164064 + ... + 164512.

Almost surely, 2^73765312 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 73765312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78181200).

73765312 is an abundant number, since it is smaller than the sum of its proper divisors (82597088).

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

73765312 is a wasteful number, since it uses less digits than its factorization.

73765312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 619 counting only the distinct ones).

The product of its digits is 26460, while the sum is 34.

The square root of 73765312 is about 8588.6734714972. The cubic root of 73765312 is about 419.3893468957.

It can be divided in two parts, 737 and 65312, that added together give a square (66049 = 257²).

The spelling of 73765312 in words is "seventy-three million, seven hundred sixty-five thousand, three hundred twelve".