72000413 has 4 divisors (see below), whose sum is σ = 72041568. Its totient is φ = 71959260.

The previous prime is 72000371. The next prime is 72000421. The reversal of 72000413 is 31400027.

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 72000413 - 2¹² = 71996317 is a prime.

It is a super-3 number, since 3×72000413³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72000391 and 72000400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72060413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17831 + ... + 21492.

It is an arithmetic number, because the mean of its divisors is an integer number (18010392).

Almost surely, 2^72000413 is an apocalyptic number.

It is an amenable number.

72000413 is a deficient number, since it is larger than the sum of its proper divisors (41155).

72000413 is a wasteful number, since it uses less digits than its factorization.

72000413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41154.

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 72000413 is about 8485.3057104621. The cubic root of 72000413 is about 416.0175600483.

The spelling of 72000413 in words is "seventy-two million, four hundred thirteen", and thus it is an aban number.