72342720 has 140 divisors (see below), whose sum is σ = 257427984. Its totient is φ = 19284480.

The previous prime is 72342707. The next prime is 72342757. The reversal of 72342720 is 2724327.

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

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 19 ways as a sum of consecutive naturals, for example, 24525 + ... + 27315.

Almost surely, 2^72342720 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 72342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128713992).

72342720 is an abundant number, since it is smaller than the sum of its proper divisors (185085264).

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

72342720 is a wasteful number, since it uses less digits than its factorization.

72342720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 72342720 is about 8505.4523689219. The cubic root of 72342720 is about 416.6757999776.

The spelling of 72342720 in words is "seventy-two million, three hundred forty-two thousand, seven hundred twenty".