72432828 has 144 divisors (see below), whose sum is σ = 209139840. Its totient is φ = 20984832.

The previous prime is 72432797. The next prime is 72432839. The reversal of 72432828 is 82823427.

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 = 72432792 and 72432801.

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 47 ways as a sum of consecutive naturals, for example, 813808 + ... + 813896.

It is an arithmetic number, because the mean of its divisors is an integer number (1452360).

Almost surely, 2^72432828 is an apocalyptic number.

72432828 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 72432828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104569920).

72432828 is an abundant number, since it is smaller than the sum of its proper divisors (136707012).

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

72432828 is a wasteful number, since it uses less digits than its factorization.

72432828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 191 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 72432828 is about 8510.7477932318. The cubic root of 72432828 is about 416.8487279750.

The spelling of 72432828 in words is "seventy-two million, four hundred thirty-two thousand, eight hundred twenty-eight".