72457 has 8 divisors (see below), whose sum is σ = 90432.
Its totient is φ = 56400.
The previous prime is 72431. The next prime is 72461. The reversal of 72457 is 75427.
It is a sphenic number, since it is the product of 3 distinct primes.
It is a cyclic number.
It is a de Polignac number, because none of the positive numbers 2k-72457 is a prime.
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (72467) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 394 + ... + 547.
It is an arithmetic number, because the mean of its divisors is an integer number (11304).
272457 is an apocalyptic number.
72457 is a gapful number since it is divisible by the number (77) formed by its first and last digit.
It is an amenable number.
72457 is a deficient number, since it is larger than the sum of its proper divisors (17975).
72457 is a wasteful number, since it uses less digits than its factorization.
72457 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 959.
The product of its digits is 1960, while the sum is 25.
The square root of 72457 is about 269.1783795181.
The cubic root of 72457 is about 41.6895092527.
It can be divided in two parts, 72 and 457, that added together give a square (529 = 232).
The spelling of 72457 in words is "seventy-two thousand, four hundred fifty-seven".