73578648 has 96 divisors (see below), whose sum is σ = 217854000. Its totient is φ = 20570880.

The previous prime is 73578647. The next prime is 73578653. The reversal of 73578648 is 84687537.

It is a junction number, because it is equal to n+sod(n) for n = 73578597 and 73578606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73578647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36778 + ... + 38726.

Almost surely, 2^73578648 is an apocalyptic number.

73578648 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73578648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108927000).

73578648 is an abundant number, since it is smaller than the sum of its proper divisors (144275352).

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

73578648 is a wasteful number, since it uses less digits than its factorization.

73578648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993 (or 1978 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The square root of 73578648 is about 8577.7997178764. The cubic root of 73578648 is about 419.0352915024.

Subtracting 73578648 from its reverse (84687537), we obtain a square (11108889 = 3333²).

The spelling of 73578648 in words is "seventy-three million, five hundred seventy-eight thousand, six hundred forty-eight".