73731648 has 56 divisors (see below), whose sum is σ = 197591680. Its totient is φ = 24261120.

The previous prime is 73731641. The next prime is 73731649. The reversal of 73731648 is 84613737.

It is not an unprimeable number, because it can be changed into a prime (73731641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12738 + ... + 17598.

Almost surely, 2^73731648 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 73731648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98795840).

73731648 is an abundant number, since it is smaller than the sum of its proper divisors (123860032).

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

73731648 is a wasteful number, since it uses less digits than its factorization.

73731648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4955 (or 4945 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 73731648 is about 8586.7134574294. The cubic root of 73731648 is about 419.3255388047.

It can be divided in two parts, 737 and 31648, that added together give a triangular number (32385 = T₂₅₄).

The spelling of 73731648 in words is "seventy-three million, seven hundred thirty-one thousand, six hundred forty-eight".