73541312 has 56 divisors (see below), whose sum is σ = 158441136. Its totient is φ = 33666048.

The previous prime is 73541287. The next prime is 73541329. The reversal of 73541312 is 21314537.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 130343 + ... + 130905.

It is an arithmetic number, because the mean of its divisors is an integer number (2829306).

Almost surely, 2^73541312 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 73541312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79220568).

73541312 is an abundant number, since it is smaller than the sum of its proper divisors (84899824).

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

73541312 is a wasteful number, since it uses less digits than its factorization.

73541312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 735 counting only the distinct ones).

The product of its digits is 2520, while the sum is 26.

The square root of 73541312 is about 8575.6231260475. The cubic root of 73541312 is about 418.9644025100.

Adding to 73541312 its reverse (21314537), we get a palindrome (94855849).

The spelling of 73541312 in words is "seventy-three million, five hundred forty-one thousand, three hundred twelve".