1472225664 has 128 divisors (see below), whose sum is σ = 4813159680. Its totient is φ = 388270080.

The previous prime is 1472225611. The next prime is 1472225717. The reversal of 1472225664 is 4665222741.

It is an interprime number because it is at equal distance from previous prime (1472225611) and next prime (1472225717).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13879 + ... + 56009.

It is an arithmetic number, because the mean of its divisors is an integer number (37602810).

Almost surely, 2^1472225664 is an apocalyptic number.

1472225664 is a gapful number since it is divisible by the number (14) 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 1472225664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2406579840).

1472225664 is an abundant number, since it is smaller than the sum of its proper divisors (3340934016).

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

1472225664 is a wasteful number, since it uses less digits than its factorization.

1472225664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42168 (or 42156 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 1472225664 is about 38369.5929610936. The cubic root of 1472225664 is about 1137.6049192600.

The spelling of 1472225664 in words is "one billion, four hundred seventy-two million, two hundred twenty-five thousand, six hundred sixty-four".