72306405 has 32 divisors (see below), whose sum is σ = 129841920. Its totient is φ = 38174400.

The previous prime is 72306401. The next prime is 72306407. The reversal of 72306405 is 50460327.

It is a happy number.

It is not a de Polignac number, because 72306405 - 2² = 72306401 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72306401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10984 + ... + 16286.

It is an arithmetic number, because the mean of its divisors is an integer number (4057560).

Almost surely, 2^72306405 is an apocalyptic number.

It is an amenable number.

72306405 is a deficient number, since it is larger than the sum of its proper divisors (57535515).

72306405 is a wasteful number, since it uses less digits than its factorization.

72306405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5418 (or 5412 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 72306405 is about 8503.3172938566. The cubic root of 72306405 is about 416.6060665645.

The spelling of 72306405 in words is "seventy-two million, three hundred six thousand, four hundred five".