72401 has 4 divisors (see below), whose sum is σ = 82752. Its totient is φ = 62052.

The previous prime is 72383. The next prime is 72421. The reversal of 72401 is 10427.

It is a happy number.

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 72401 - 2⁶ = 72337 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (72421) 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, 5165 + ... + 5178.

It is an arithmetic number, because the mean of its divisors is an integer number (20688).

2⁷²⁴⁰¹ is an apocalyptic number.

It is an amenable number.

72401 is a deficient number, since it is larger than the sum of its proper divisors (10351).

72401 is a wasteful number, since it uses less digits than its factorization.

72401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10350.

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 72401 is about 269.0743391704. The cubic root of 72401 is about 41.6787662638.

Adding to 72401 its reverse (10427), we get a palindrome (82828).

It can be divided in two parts, 7 and 2401, that multiplied together give a 5-th power (16807 = 7⁵).

The spelling of 72401 in words is "seventy-two thousand, four hundred one", and thus it is an iban number.