72405314 has 16 divisors (see below), whose sum is σ = 116484480. Its totient is φ = 33649200.

The previous prime is 72405313. The next prime is 72405343. The reversal of 72405314 is 41350427.

It is a super-3 number, since 3×72405314³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (72405313) 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, 15962 + ... + 19989.

It is an arithmetic number, because the mean of its divisors is an integer number (7280280).

Almost surely, 2^72405314 is an apocalyptic number.

72405314 is a deficient number, since it is larger than the sum of its proper divisors (44079166).

72405314 is a wasteful number, since it uses less digits than its factorization.

72405314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36025.

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 72405314 is about 8509.1312129970. The cubic root of 72405314 is about 416.7959405455.

The spelling of 72405314 in words is "seventy-two million, four hundred five thousand, three hundred fourteen".