73628393472 has 196 divisors, whose sum is σ = 220788612270. Its totient is φ = 24540807168.

The previous prime is 73628393459. The next prime is 73628393513. The reversal of 73628393472 is 27439382637.

73628393472 is a `hidden beast` number, since 7 + 3 + 6 + 2 + 83 + 93 + 472 = 666.

It can be written as a sum of positive squares in only one way, i.e., 73601519616 + 26873856 = 271296^2 + 5184^2 .

It is a super-2 number, since 2×73628393472² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 5965804 + ... + 5978132.

Almost surely, 2^73628393472 is an apocalyptic number.

73628393472 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 73628393472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110394306135).

73628393472 is an abundant number, since it is smaller than the sum of its proper divisors (147160218798).

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

73628393472 is an frugal number, since it uses more digits than its factorization.

73628393472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12373 (or 12334 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The spelling of 73628393472 in words is "seventy-three billion, six hundred twenty-eight million, three hundred ninety-three thousand, four hundred seventy-two".