72537 has 4 divisors (see below), whose sum is σ = 96720. Its totient is φ = 48356.

The previous prime is 72533. The next prime is 72547. The reversal of 72537 is 73527.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 73527 = 3 ⋅24509.

It is a cyclic number.

It is not a de Polignac number, because 72537 - 2^{2} = 72533 is a prime.

It is a D-number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 72537.

It is not an unprimeable number, because it can be changed into a prime (72533) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12087 + ... + 12092.

It is an arithmetic number, because the mean of its divisors is an integer number (24180).

2^{72537} is an apocalyptic number.

It is an amenable number.

72537 is a deficient number, since it is larger than the sum of its proper divisors (24183).

72537 is a wasteful number, since it uses less digits than its factorization.

72537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24182.

The product of its digits is 1470, while the sum is 24.

The square root of 72537 is about 269.3269388680. The cubic root of 72537 is about 41.7048467818.

Subtracting 72537 from its reverse (73527), we obtain a triangular number (990 = T_{44}).

It can be divided in two parts, 7253 and 7, that added together give a triangular number (7260 = T_{120}).

The spelling of 72537 in words is "seventy-two thousand, five hundred thirty-seven".

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