1384125072 has 160 divisors (see below), whose sum is σ = 4129021440. Its totient is φ = 395136000.

The previous prime is 1384125013. The next prime is 1384125077. The reversal of 1384125072 is 2705214831.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1384125077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2818747 + ... + 2819237.

It is an arithmetic number, because the mean of its divisors is an integer number (25806384).

Almost surely, 2^1384125072 is an apocalyptic number.

1384125072 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 1384125072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064510720).

1384125072 is an abundant number, since it is smaller than the sum of its proper divisors (2744896368).

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

1384125072 is a wasteful number, since it uses less digits than its factorization.

1384125072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 1384125072 is about 37203.8314155948. The cubic root of 1384125072 is about 1114.4444998478. Note that the first 4 decimals are identical.

The spelling of 1384125072 in words is "one billion, three hundred eighty-four million, one hundred twenty-five thousand, seventy-two".