72524771 has 16 divisors (see below), whose sum is σ = 84071520. Its totient is φ = 61831680.

The previous prime is 72524761. The next prime is 72524797. The reversal of 72524771 is 17742527.

It is a cyclic number.

It is not a de Polignac number, because 72524771 - 2¹⁰ = 72523747 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72524741) 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 15 ways as a sum of consecutive naturals, for example, 72245 + ... + 73241.

It is an arithmetic number, because the mean of its divisors is an integer number (5254470).

Almost surely, 2^72524771 is an apocalyptic number.

72524771 is a deficient number, since it is larger than the sum of its proper divisors (11546749).

72524771 is a wasteful number, since it uses less digits than its factorization.

72524771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414.

The product of its digits is 27440, while the sum is 35.

The square root of 72524771 is about 8516.1476619420. The cubic root of 72524771 is about 417.0250297915.

The spelling of 72524771 in words is "seventy-two million, five hundred twenty-four thousand, seven hundred seventy-one".