73361772 has 72 divisors (see below), whose sum is σ = 205684752. Its totient is φ = 21859200.

The previous prime is 73361759. The next prime is 73361773. The reversal of 73361772 is 27716337.

73361772 is a `hidden beast` number, since 7 + 33 + 617 + 7 + 2 = 666.

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 (73361773) 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, 22638 + ... + 25674.

Almost surely, 2^73361772 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 73361772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102842376).

73361772 is an abundant number, since it is smaller than the sum of its proper divisors (132322980).

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

73361772 is a wasteful number, since it uses less digits than its factorization.

73361772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3119 (or 3114 counting only the distinct ones).

The product of its digits is 37044, while the sum is 36.

The square root of 73361772 is about 8565.1486852243. The cubic root of 73361772 is about 418.6231785848.

The spelling of 73361772 in words is "seventy-three million, three hundred sixty-one thousand, seven hundred seventy-two".