73461312 has 84 divisors (see below), whose sum is σ = 213078060. Its totient is φ = 24195072.

The previous prime is 73461281. The next prime is 73461331. The reversal of 73461312 is 21316437.

73461312 is a `hidden beast` number, since 7 + 34 + 613 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37748736 + 35712576 = 6144^2 + 5976^2 .

It is a super-2 number, since 2×73461312² = 10793128721522688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50548 + ... + 51980.

Almost surely, 2^73461312 is an apocalyptic number.

73461312 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 73461312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106539030).

73461312 is an abundant number, since it is smaller than the sum of its proper divisors (139616748).

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

73461312 is a wasteful number, since it uses less digits than its factorization.

73461312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1527 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 73461312 is about 8570.9574727681. The cubic root of 73461312 is about 418.8124275533.

Adding to 73461312 its reverse (21316437), we get a palindrome (94777749).

The spelling of 73461312 in words is "seventy-three million, four hundred sixty-one thousand, three hundred twelve".