73672352 has 48 divisors (see below), whose sum is σ = 156943080. Its totient is φ = 33841152.

The previous prime is 73672327. The next prime is 73672393. The reversal of 73672352 is 25327637.

It can be written as a sum of positive squares in 4 ways, for example, as 52475536 + 21196816 = 7244^2 + 4604^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 169928 + ... + 170360.

Almost surely, 2^73672352 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 73672352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78471540).

73672352 is an abundant number, since it is smaller than the sum of its proper divisors (83270728).

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

73672352 is a wasteful number, since it uses less digits than its factorization.

73672352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 857 counting only the distinct ones).

The product of its digits is 52920, while the sum is 35.

The square root of 73672352 is about 8583.2599867416. The cubic root of 73672352 is about 419.2130995460.

Adding to 73672352 its reverse (25327637), we get a palindrome (98999989).

The spelling of 73672352 in words is "seventy-three million, six hundred seventy-two thousand, three hundred fifty-two".