72603648 has 192 divisors, whose sum is σ = 233906400. Its totient is φ = 22118400.

The previous prime is 72603647. The next prime is 72603691. The reversal of 72603648 is 84630627.

72603648 is a `hidden beast` number, since 7 + 2 + 6 + 0 + 3 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72603647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 718798 + ... + 718898.

Almost surely, 2^72603648 is an apocalyptic number.

72603648 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 72603648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116953200).

72603648 is an abundant number, since it is smaller than the sum of its proper divisors (161302752).

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

72603648 is a wasteful number, since it uses less digits than its factorization.

72603648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 72603648 is about 8520.7774293195. Note that the first 3 decimals coincide. The cubic root of 72603648 is about 417.1761586868.

The spelling of 72603648 in words is "seventy-two million, six hundred three thousand, six hundred forty-eight".