72079200 has 288 divisors, whose sum is σ = 269982720. Its totient is φ = 18547200.

The previous prime is 72079199. The next prime is 72079207. The reversal of 72079200 is 297027.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×72079200² = 10390822145280000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72079207) by changing a digit.

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, 1015165 + ... + 1015235.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 2^72079200 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 72079200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134991360).

72079200 is an abundant number, since it is smaller than the sum of its proper divisors (197903520).

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

72079200 is a wasteful number, since it uses less digits than its factorization.

72079200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 72079200 is about 8489.9469963010. The cubic root of 72079200 is about 416.1692481938.

The spelling of 72079200 in words is "seventy-two million, seventy-nine thousand, two hundred".