72342828 has 96 divisors (see below), whose sum is σ = 194432000. Its totient is φ = 23250240.

The previous prime is 72342821. The next prime is 72342839. The reversal of 72342828 is 82824327.

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 = 72342792 and 72342801.

It is not an unprimeable number, because it can be changed into a prime (72342821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 520383 + ... + 520521.

Almost surely, 2^72342828 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 72342828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97216000).

72342828 is an abundant number, since it is smaller than the sum of its proper divisors (122089172).

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

72342828 is a wasteful number, since it uses less digits than its factorization.

72342828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 284 counting only the distinct ones).

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

The square root of 72342828 is about 8505.4587177882. The cubic root of 72342828 is about 416.6760073284.

The spelling of 72342828 in words is "seventy-two million, three hundred forty-two thousand, eight hundred twenty-eight".