72527362600 has 192 divisors, whose sum is σ = 211171484160. Its totient is φ = 22505260800.

The previous prime is 72527362591. The next prime is 72527362601. The reversal of 72527362600 is 626372527.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (72527362601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3485427 + ... + 3506173.

It is an arithmetic number, because the mean of its divisors is an integer number (1099851480).

Almost surely, 2^72527362600 is an apocalyptic number.

72527362600 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 72527362600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105585742080).

72527362600 is an abundant number, since it is smaller than the sum of its proper divisors (138644121560).

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

72527362600 is a wasteful number, since it uses less digits than its factorization.

72527362600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21008 (or 20999 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 40.

The spelling of 72527362600 in words is "seventy-two billion, five hundred twenty-seven million, three hundred sixty-two thousand, six hundred".