72752010 has 64 divisors (see below), whose sum is σ = 191289600. Its totient is φ = 17626112.

The previous prime is 72752003. The next prime is 72752011. The reversal of 72752010 is 1025727.

It is not an unprimeable number, because it can be changed into a prime (72752011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12331 + ... + 17249.

It is an arithmetic number, because the mean of its divisors is an integer number (2988900).

Almost surely, 2^72752010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72752010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95644800).

72752010 is an abundant number, since it is smaller than the sum of its proper divisors (118537590).

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

72752010 is a wasteful number, since it uses less digits than its factorization.

72752010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4975.

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 72752010 is about 8529.4788820889. The cubic root of 72752010 is about 417.4601250358.

Adding to 72752010 its reverse (1025727), we get a palindrome (73777737).

The spelling of 72752010 in words is "seventy-two million, seven hundred fifty-two thousand, ten".