392712672 has 288 divisors, whose sum is σ = 1270926720. Its totient is φ = 104924160.

The previous prime is 392712647. The next prime is 392712689. The reversal of 392712672 is 276217293.

Its product of digits (63504) is a multiple of the sum of its prime factors (126).

It is a self number, because there is not a number n which added to its sum of digits gives 392712672.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10613838 + ... + 10613874.

It is an arithmetic number, because the mean of its divisors is an integer number (4412940).

Almost surely, 2^392712672 is an apocalyptic number.

392712672 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 392712672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635463360).

392712672 is an abundant number, since it is smaller than the sum of its proper divisors (878214048).

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

392712672 is a wasteful number, since it uses less digits than its factorization.

392712672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 95 counting only the distinct ones).

The product of its digits is 63504, while the sum is 39.

The square root of 392712672 is about 19816.9793863747. The cubic root of 392712672 is about 732.3043913073.

The spelling of 392712672 in words is "three hundred ninety-two million, seven hundred twelve thousand, six hundred seventy-two".