72153648 has 120 divisors (see below), whose sum is σ = 235842048. Its totient is φ = 20163456.

The previous prime is 72153611. The next prime is 72153671. The reversal of 72153648 is 84635127.

72153648 is a `hidden beast` number, since 7 + 2 + 1 + 5 + 3 + 648 = 666.

It is a super-2 number, since 2×72153648² = 10412297839415808, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46615 + ... + 48137.

Almost surely, 2^72153648 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 72153648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117921024).

72153648 is an abundant number, since it is smaller than the sum of its proper divisors (163688400).

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

72153648 is a wasteful number, since it uses less digits than its factorization.

72153648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591 (or 1582 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 72153648 is about 8494.3303444121. The cubic root of 72153648 is about 416.3124809490.

The spelling of 72153648 in words is "seventy-two million, one hundred fifty-three thousand, six hundred forty-eight".