72152028 has 72 divisors (see below), whose sum is σ = 197908256. Its totient is φ = 22032000.

The previous prime is 72152021. The next prime is 72152039. The reversal of 72152028 is 82025127.

It is a junction number, because it is equal to n+sod(n) for n = 72151992 and 72152010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72152021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70158 + ... + 71178.

Almost surely, 2^72152028 is an apocalyptic number.

72152028 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 72152028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98954128).

72152028 is an abundant number, since it is smaller than the sum of its proper divisors (125756228).

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

72152028 is a wasteful number, since it uses less digits than its factorization.

72152028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 72152028 is about 8494.2349861538. The cubic root of 72152028 is about 416.3093652310.

It can be divided in two parts, 72 and 152028, that added together give a square (152100 = 390²).

The spelling of 72152028 in words is "seventy-two million, one hundred fifty-two thousand, twenty-eight".