72437 has 4 divisors (see below), whose sum is σ = 76716. Its totient is φ = 68160.

The previous prime is 72431. The next prime is 72461. The reversal of 72437 is 73427.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 73427 = 101 ⋅727.

It can be written as a sum of positive squares in 2 ways, for example, as 64516 + 7921 = 254^2 + 89^2 .

It is a cyclic number.

It is not a de Polignac number, because 72437 - 2⁴ = 72421 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72437.

It is not an unprimeable number, because it can be changed into a prime (72431) 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, 2114 + ... + 2147.

It is an arithmetic number, because the mean of its divisors is an integer number (19179).

2⁷²⁴³⁷ is an apocalyptic number.

It is an amenable number.

72437 is a deficient number, since it is larger than the sum of its proper divisors (4279).

72437 is a wasteful number, since it uses less digits than its factorization.

72437 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4278.

The product of its digits is 1176, while the sum is 23.

The square root of 72437 is about 269.1412268680. The cubic root of 72437 is about 41.6856731066.

Subtracting 72437 from its reverse (73427), we obtain a triangular number (990 = T₄₄).

The spelling of 72437 in words is "seventy-two thousand, four hundred thirty-seven".