1472368128 has 320 divisors, whose sum is σ = 4996823040. Its totient is φ = 374169600.

The previous prime is 1472368123. The next prime is 1472368151. The reversal of 1472368128 is 8218632741.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1472368128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1472368123) 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, 6977943 + ... + 6978153.

It is an arithmetic number, because the mean of its divisors is an integer number (15615072).

Almost surely, 2^1472368128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1472368128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498411520).

1472368128 is an abundant number, since it is smaller than the sum of its proper divisors (3524454912).

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

1472368128 is a wasteful number, since it uses less digits than its factorization.

1472368128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 293 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 1472368128 is about 38371.4493862299. The cubic root of 1472368128 is about 1137.6416125750.

The spelling of 1472368128 in words is "one billion, four hundred seventy-two million, three hundred sixty-eight thousand, one hundred twenty-eight".