72527000 has 128 divisors (see below), whose sum is σ = 209139840. Its totient is φ = 22924800.

The previous prime is 72526967. The next prime is 72527017. The reversal of 72527000 is 72527.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 90602 + ... + 91398.

It is an arithmetic number, because the mean of its divisors is an integer number (1633905).

Almost surely, 2^72527000 is an apocalyptic number.

72527000 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 72527000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104569920).

72527000 is an abundant number, since it is smaller than the sum of its proper divisors (136612840).

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

72527000 is a wasteful number, since it uses less digits than its factorization.

72527000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 23.

The square root of 72527000 is about 8516.2785299684. The cubic root of 72527000 is about 417.0293020756.

Adding to 72527000 its reverse (72527), we get a palindrome (72599527).

72527000 divided by its reverse (72527) gives a cube (1000 = 10³).

The spelling of 72527000 in words is "seventy-two million, five hundred twenty-seven thousand".