72531947 has 4 divisors (see below), whose sum is σ = 72696120. Its totient is φ = 72367776.

The previous prime is 72531937. The next prime is 72531973. The reversal of 72531947 is 74913527.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 72531947 - 2¹⁴ = 72515563 is a prime.

It is a super-3 number, since 3×72531947³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72531947.

It is not an unprimeable number, because it can be changed into a prime (72531937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 81422 + ... + 82307.

It is an arithmetic number, because the mean of its divisors is an integer number (18174030).

Almost surely, 2^72531947 is an apocalyptic number.

72531947 is a deficient number, since it is larger than the sum of its proper divisors (164173).

72531947 is a wasteful number, since it uses less digits than its factorization.

72531947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164172.

The product of its digits is 52920, while the sum is 38.

The square root of 72531947 is about 8516.5689687808. The cubic root of 72531947 is about 417.0387835884.

The spelling of 72531947 in words is "seventy-two million, five hundred thirty-one thousand, nine hundred forty-seven".