388287072 has 144 divisors (see below), whose sum is σ = 1186672032. Its totient is φ = 119992320.

The previous prime is 388287071. The next prime is 388287077. The reversal of 388287072 is 270782883.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388287071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347058 + ... + 348174.

It is an arithmetic number, because the mean of its divisors is an integer number (8240778).

Almost surely, 2^388287072 is an apocalyptic number.

388287072 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 388287072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593336016).

388287072 is an abundant number, since it is smaller than the sum of its proper divisors (798384960).

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

388287072 is a wasteful number, since it uses less digits than its factorization.

388287072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 388287072 is about 19705.0011925907. The cubic root of 388287072 is about 729.5431381701.

The spelling of 388287072 in words is "three hundred eighty-eight million, two hundred eighty-seven thousand, seventy-two".