72027648 has 360 divisors, whose sum is σ = 272895480. Its totient is φ = 18063360.

The previous prime is 72027647. The next prime is 72027671. The reversal of 72027648 is 84672027.

72027648 is a `hidden beast` number, since 7 + 2 + 0 + 2 + 7 + 648 = 666.

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 (72027647) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2483698 + ... + 2483726.

It is an arithmetic number, because the mean of its divisors is an integer number (758043).

Almost surely, 2^72027648 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 72027648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136447740).

72027648 is an abundant number, since it is smaller than the sum of its proper divisors (200867832).

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

72027648 is a wasteful number, since it uses less digits than its factorization.

72027648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 72027648 is about 8486.9103918917. The cubic root of 72027648 is about 416.0700079417.

The spelling of 72027648 in words is "seventy-two million, twenty-seven thousand, six hundred forty-eight".