72327528 has 288 divisors, whose sum is σ = 261424800. Its totient is φ = 17853696.

The previous prime is 72327523. The next prime is 72327529. The reversal of 72327528 is 82572327.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 72327492 and 72327501.

It is not an unprimeable number, because it can be changed into a prime (72327523) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 871375 + ... + 871457.

It is an arithmetic number, because the mean of its divisors is an integer number (907725).

Almost surely, 2^72327528 is an apocalyptic number.

72327528 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 72327528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130712400).

72327528 is an abundant number, since it is smaller than the sum of its proper divisors (189097272).

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

72327528 is a wasteful number, since it uses less digits than its factorization.

72327528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 127 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 72327528 is about 8504.5592478388. The cubic root of 72327528 is about 416.6466305743.

The spelling of 72327528 in words is "seventy-two million, three hundred twenty-seven thousand, five hundred twenty-eight".