73019648 has 72 divisors (see below), whose sum is σ = 161480088. Its totient is φ = 32735232.

The previous prime is 73019629. The next prime is 73019657. The reversal of 73019648 is 84691037.

It can be written as a sum of positive squares in 4 ways, for example, as 15745024 + 57274624 = 3968^2 + 7568^2 .

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, 122840 + ... + 123432.

It is an arithmetic number, because the mean of its divisors is an integer number (2242779).

Almost surely, 2^73019648 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 73019648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80740044).

73019648 is an abundant number, since it is smaller than the sum of its proper divisors (88460440).

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

73019648 is a wasteful number, since it uses less digits than its factorization.

73019648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 73019648 is about 8545.1534801898. The cubic root of 73019648 is about 417.9714120082.

The spelling of 73019648 in words is "seventy-three million, nineteen thousand, six hundred forty-eight".