73506112 has 56 divisors (see below), whose sum is σ = 151378920. Its totient is φ = 35389440.

The previous prime is 73506089. The next prime is 73506131. The reversal of 73506112 is 21160537.

It can be written as a sum of positive squares in 4 ways, for example, as 19571776 + 53934336 = 4424^2 + 7344^2 .

It is a congruent number.

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, 285888 + ... + 286144.

It is an arithmetic number, because the mean of its divisors is an integer number (2703195).

Almost surely, 2^73506112 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 73506112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75689460).

73506112 is an abundant number, since it is smaller than the sum of its proper divisors (77872808).

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

73506112 is a wasteful number, since it uses less digits than its factorization.

73506112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 73506112 is about 8573.5705514097. The cubic root of 73506112 is about 418.8975471144.

Adding to 73506112 its reverse (21160537), we get a palindrome (94666649).

The spelling of 73506112 in words is "seventy-three million, five hundred six thousand, one hundred twelve".