1385667072 has 120 divisors (see below), whose sum is σ = 4048428384. Its totient is φ = 456198144.

The previous prime is 1385667043. The next prime is 1385667079. The reversal of 1385667072 is 2707665831.

1385667072 is a `hidden beast` number, since 13 + 8 + 566 + 7 + 0 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (1385667079) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 380653 + ... + 384275.

Almost surely, 2^1385667072 is an apocalyptic number.

1385667072 is a gapful number since it is divisible by the number (12) 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 1385667072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024214192).

1385667072 is an abundant number, since it is smaller than the sum of its proper divisors (2662761312).

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

1385667072 is an equidigital number, since it uses as much as digits as its factorization.

1385667072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3730 (or 3711 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 1385667072 is about 37224.5493189642. The cubic root of 1385667072 is about 1114.8581993722.

The spelling of 1385667072 in words is "one billion, three hundred eighty-five million, six hundred sixty-seven thousand, seventy-two".