72840528 has 120 divisors (see below), whose sum is σ = 217942400. Its totient is φ = 22643712.

The previous prime is 72840499. The next prime is 72840541. The reversal of 72840528 is 82504827.

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 = 72840492 and 72840501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215976 + ... + 216312.

Almost surely, 2^72840528 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 72840528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108971200).

72840528 is an abundant number, since it is smaller than the sum of its proper divisors (145101872).

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

72840528 is a wasteful number, since it uses less digits than its factorization.

72840528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 72840528 is about 8534.6662500651. Note that the first 3 decimals coincide. The cubic root of 72840528 is about 417.6293655309.

The spelling of 72840528 in words is "seventy-two million, eight hundred forty thousand, five hundred twenty-eight".