72242820 has 192 divisors, whose sum is σ = 248935680. Its totient is φ = 17280000.

The previous prime is 72242791. The next prime is 72242827. The reversal of 72242820 is 2824227.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (72242827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 287695 + ... + 287945.

It is an arithmetic number, because the mean of its divisors is an integer number (1296540).

Almost surely, 2^72242820 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 72242820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124467840).

72242820 is an abundant number, since it is smaller than the sum of its proper divisors (176692860).

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

72242820 is a wasteful number, since it uses less digits than its factorization.

72242820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 72242820 is about 8499.5776365652. The cubic root of 72242820 is about 416.4839120313.

The spelling of 72242820 in words is "seventy-two million, two hundred forty-two thousand, eight hundred twenty".