72295200 has 144 divisors (see below), whose sum is σ = 261545760. Its totient is φ = 19272960.

The previous prime is 72295183. The next prime is 72295207. The reversal of 72295200 is 259227.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 (72295207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19927 + ... + 23273.

It is an arithmetic number, because the mean of its divisors is an integer number (1816290).

Almost surely, 2^72295200 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 72295200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130772880).

72295200 is an abundant number, since it is smaller than the sum of its proper divisors (189250560).

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

72295200 is a wasteful number, since it uses less digits than its factorization.

72295200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3376 (or 3357 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 72295200 is about 8502.6584078158. The cubic root of 72295200 is about 416.5845455936.

The spelling of 72295200 in words is "seventy-two million, two hundred ninety-five thousand, two hundred".