73461752 has 128 divisors (see below), whose sum is σ = 183859200. Its totient is φ = 26707968.

The previous prime is 73461721. The next prime is 73461767. The reversal of 73461752 is 25716437.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 650048 + ... + 650160.

It is an arithmetic number, because the mean of its divisors is an integer number (1436400).

Almost surely, 2^73461752 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 73461752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91929600).

73461752 is an abundant number, since it is smaller than the sum of its proper divisors (110397448).

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

73461752 is a wasteful number, since it uses less digits than its factorization.

73461752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 201 counting only the distinct ones).

The product of its digits is 35280, while the sum is 35.

The square root of 73461752 is about 8570.9831408071. The cubic root of 73461752 is about 418.8132637172.

The spelling of 73461752 in words is "seventy-three million, four hundred sixty-one thousand, seven hundred fifty-two".