72527100 has 72 divisors (see below), whose sum is σ = 222204528. Its totient is φ = 18201600.

The previous prime is 72527099. The next prime is 72527101. The reversal of 72527100 is 172527.

It is an interprime number because it is at equal distance from previous prime (72527099) and next prime (72527101).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72527101) 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, 2011 + ... + 12210.

It is an arithmetic number, because the mean of its divisors is an integer number (3086174).

Almost surely, 2^72527100 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 72527100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111102264).

72527100 is an abundant number, since it is smaller than the sum of its proper divisors (149677428).

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

72527100 is a wasteful number, since it uses less digits than its factorization.

72527100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14255 (or 14248 counting only the distinct ones).

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

The square root of 72527100 is about 8516.2844010754. The cubic root of 72527100 is about 417.0294937417.

Adding to 72527100 its reverse (172527), we get a palindrome (72699627).

It can be divided in two parts, 72527 and 100, that added together give a palindrome (72627).

The spelling of 72527100 in words is "seventy-two million, five hundred twenty-seven thousand, one hundred".