73628352 has 140 divisors (see below), whose sum is σ = 249560080. Its totient is φ = 21026304.

The previous prime is 73628339. The next prime is 73628353. The reversal of 73628352 is 25382637.

It is a super-2 number, since 2×73628352² = 10842268436471808, which contains 22 as substring.

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 (73628353) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35274 + ... + 37302.

It is an arithmetic number, because the mean of its divisors is an integer number (1782572).

Almost surely, 2^73628352 is an apocalyptic number.

73628352 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 73628352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124780040).

73628352 is an abundant number, since it is smaller than the sum of its proper divisors (175931728).

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

73628352 is a wasteful number, since it uses less digits than its factorization.

73628352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060 (or 2041 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 73628352 is about 8580.6964752286. The cubic root of 73628352 is about 419.1296261253.

The spelling of 73628352 in words is "seventy-three million, six hundred twenty-eight thousand, three hundred fifty-two".