72349 has 4 divisors (see below), whose sum is σ = 73440. Its totient is φ = 71260.

The previous prime is 72341. The next prime is 72353. The reversal of 72349 is 94327.

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.

It is a cyclic number.

It is not a de Polignac number, because 72349 - 2³ = 72341 is a prime.

It is a d-powerful number, because it can be written as 7 + 2 + 3⁵ + 4⁸ + 9⁴ .

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72341) 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, 439 + ... + 580.

It is an arithmetic number, because the mean of its divisors is an integer number (18360).

2⁷²³⁴⁹ is an apocalyptic number.

It is an amenable number.

72349 is a deficient number, since it is larger than the sum of its proper divisors (1091).

72349 is a wasteful number, since it uses less digits than its factorization.

72349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090.

The product of its digits is 1512, while the sum is 25.

The square root of 72349 is about 268.9776942425. The cubic root of 72349 is about 41.6687856700.

The spelling of 72349 in words is "seventy-two thousand, three hundred forty-nine".