72346956 has 24 divisors (see below), whose sum is σ = 184156224. Its totient is φ = 21923280.

The previous prime is 72346949. The next prime is 72346957. The reversal of 72346956 is 65964327.

It is not an unprimeable number, because it can be changed into a prime (72346957) 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, 273910 + ... + 274173.

It is an arithmetic number, because the mean of its divisors is an integer number (7673176).

Almost surely, 2^72346956 is an apocalyptic number.

It is an amenable number.

72346956 is an abundant number, since it is smaller than the sum of its proper divisors (111809268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72346956 is a wasteful number, since it uses less digits than its factorization.

72346956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548101 (or 548099 counting only the distinct ones).

The product of its digits is 272160, while the sum is 42.

The square root of 72346956 is about 8505.7013820143. The cubic root of 72346956 is about 416.6839325823.

The spelling of 72346956 in words is "seventy-two million, three hundred forty-six thousand, nine hundred fifty-six".