72527532 has 96 divisors (see below), whose sum is σ = 215115264. Its totient is φ = 18470400.

The previous prime is 72527531. The next prime is 72527537. The reversal of 72527532 is 23572527.

It is a super-2 number, since 2×72527532² = 10520485796022048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 72527493 and 72527502.

It is not an unprimeable number, because it can be changed into a prime (72527531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48232 + ... + 49712.

It is an arithmetic number, because the mean of its divisors is an integer number (2240784).

Almost surely, 2^72527532 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 72527532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107557632).

72527532 is an abundant number, since it is smaller than the sum of its proper divisors (142587732).

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

72527532 is a wasteful number, since it uses less digits than its factorization.

72527532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1557 counting only the distinct ones).

The product of its digits is 29400, while the sum is 33.

The square root of 72527532 is about 8516.3097642113. The cubic root of 72527532 is about 417.0303217374.

The spelling of 72527532 in words is "seventy-two million, five hundred twenty-seven thousand, five hundred thirty-two".