72727200 has 576 divisors, whose sum is σ = 332478720. Its totient is φ = 14929920.

The previous prime is 72727159. The next prime is 72727223. The reversal of 72727200 is 272727.

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

It is a zygodrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1965582 + ... + 1965618.

It is an arithmetic number, because the mean of its divisors is an integer number (577220).

Almost surely, 2^72727200 is an apocalyptic number.

72727200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72727200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166239360).

72727200 is an abundant number, since it is smaller than the sum of its proper divisors (259751520).

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

72727200 is a wasteful number, since it uses less digits than its factorization.

72727200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 27.

The square root of 72727200 is about 8528.0243902090. The cubic root of 72727200 is about 417.4126653470.

Adding to 72727200 its reverse (272727), we get a palindrome (72999927).

It can be divided in two parts, 72727 and 200, that added together give a palindrome (72927).

The spelling of 72727200 in words is "seventy-two million, seven hundred twenty-seven thousand, two hundred".