72200752 has 40 divisors (see below), whose sum is σ = 152802720. Its totient is φ = 32847360.

The previous prime is 72200747. The next prime is 72200753. The reversal of 72200752 is 25700227.

It is not an unprimeable number, because it can be changed into a prime (72200753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12324 + ... + 17212.

It is an arithmetic number, because the mean of its divisors is an integer number (3820068).

Almost surely, 2^72200752 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 72200752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76401360).

72200752 is an abundant number, since it is smaller than the sum of its proper divisors (80601968).

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

72200752 is a wasteful number, since it uses less digits than its factorization.

72200752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4981 (or 4975 counting only the distinct ones).

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

The square root of 72200752 is about 8497.1025649924. The cubic root of 72200752 is about 416.4030548741.

Adding to 72200752 its reverse (25700227), we get a palindrome (97900979).

The spelling of 72200752 in words is "seventy-two million, two hundred thousand, seven hundred fifty-two".