72275200 has 108 divisors (see below), whose sum is σ = 187050528. Its totient is φ = 27596800.

The previous prime is 72275197. The next prime is 72275201. The reversal of 72275200 is 257227.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72275201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146955 + ... + 147445.

Almost surely, 2^72275200 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 72275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93525264).

72275200 is an abundant number, since it is smaller than the sum of its proper divisors (114775328).

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

72275200 is a wasteful number, since it uses less digits than its factorization.

72275200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 25.

The square root of 72275200 is about 8501.4822237066. The cubic root of 72275200 is about 416.5461269095.

The spelling of 72275200 in words is "seventy-two million, two hundred seventy-five thousand, two hundred".