4572960672 has 144 divisors (see below), whose sum is σ = 14201399520. Its totient is φ = 1284337152.

The previous prime is 4572960661. The next prime is 4572960673. The reversal of 4572960672 is 2760692754.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4572960673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 269298 + ... + 285774.

It is an arithmetic number, because the mean of its divisors is an integer number (98620830).

Almost surely, 2^4572960672 is an apocalyptic number.

4572960672 is a gapful number since it is divisible by the number (42) 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 4572960672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7100699760).

4572960672 is an abundant number, since it is smaller than the sum of its proper divisors (9628438848).

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

4572960672 is a wasteful number, since it uses less digits than its factorization.

4572960672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16563 (or 16548 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The square root of 4572960672 is about 67623.6694656538. The cubic root of 4572960672 is about 1659.8384552720.

The spelling of 4572960672 in words is "four billion, five hundred seventy-two million, nine hundred sixty thousand, six hundred seventy-two".