393372672 has 176 divisors, whose sum is σ = 1307983872. Its totient is φ = 102113280.

The previous prime is 393372587. The next prime is 393372677. The reversal of 393372672 is 276273393.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393372677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235713 + ... + 237375.

Almost surely, 2^393372672 is an apocalyptic number.

393372672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393372672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653991936).

393372672 is an abundant number, since it is smaller than the sum of its proper divisors (914611200).

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

393372672 is a wasteful number, since it uses less digits than its factorization.

393372672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1686 counting only the distinct ones).

The product of its digits is 285768, while the sum is 42.

The square root of 393372672 is about 19833.6247821723. The cubic root of 393372672 is about 732.7144030249.

The spelling of 393372672 in words is "three hundred ninety-three million, three hundred seventy-two thousand, six hundred seventy-two".