393721272 has 72 divisors (see below), whose sum is σ = 1240434000. Its totient is φ = 112490784.

The previous prime is 393721261. The next prime is 393721283. The reversal of 393721272 is 272127393.

It is an interprime number because it is at equal distance from previous prime (393721261) and next prime (393721283).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 52272 + ... + 59327.

It is an arithmetic number, because the mean of its divisors is an integer number (17228250).

Almost surely, 2^393721272 is an apocalyptic number.

It is an amenable number.

393721272 is an abundant number, since it is smaller than the sum of its proper divisors (846712728).

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

393721272 is a wasteful number, since it uses less digits than its factorization.

393721272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111625 (or 111611 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 393721272 is about 19842.4109422217. The cubic root of 393721272 is about 732.9307786955.

The spelling of 393721272 in words is "three hundred ninety-three million, seven hundred twenty-one thousand, two hundred seventy-two".