72416213 has 8 divisors (see below), whose sum is σ = 76694208. Its totient is φ = 68232384.

The previous prime is 72416207. The next prime is 72416231. The reversal of 72416213 is 31261427.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72416213 - 2¹⁴ = 72399829 is a prime.

It is a super-2 number, since 2×72416213² = 10488215810522738, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72416203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21956 + ... + 25037.

It is an arithmetic number, because the mean of its divisors is an integer number (9586776).

Almost surely, 2^72416213 is an apocalyptic number.

It is an amenable number.

72416213 is a deficient number, since it is larger than the sum of its proper divisors (4277995).

72416213 is a wasteful number, since it uses less digits than its factorization.

72416213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47083.

The product of its digits is 2016, while the sum is 26.

The square root of 72416213 is about 8509.7716185571. The cubic root of 72416213 is about 416.8168525973.

The spelling of 72416213 in words is "seventy-two million, four hundred sixteen thousand, two hundred thirteen".