4872790272 has 288 divisors, whose sum is σ = 15385531392. Its totient is φ = 1340301312.

The previous prime is 4872790261. The next prime is 4872790303. The reversal of 4872790272 is 2720972784.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24734878 + ... + 24735074.

It is an arithmetic number, because the mean of its divisors is an integer number (53421984).

Almost surely, 2^4872790272 is an apocalyptic number.

4872790272 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 4872790272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7692765696).

4872790272 is an abundant number, since it is smaller than the sum of its proper divisors (10512741120).

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

4872790272 is a wasteful number, since it uses less digits than its factorization.

4872790272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The square root of 4872790272 is about 69805.3742343668. The cubic root of 4872790272 is about 1695.3494894592.

The spelling of 4872790272 in words is "four billion, eight hundred seventy-two million, seven hundred ninety thousand, two hundred seventy-two".