4272713956 has 135 divisors (see below), whose sum is σ = 9443966441. Its totient is φ = 1691149152.

The previous prime is 4272713953. The next prime is 4272713957. The reversal of 4272713956 is 6593172724.

The square root of 4272713956 is 65366.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2240507556 + 2032206400 = 47334^2 + 45080^2 .

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (4272713953) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 147334950 + ... + 147334978.

Almost surely, 2^4272713956 is an apocalyptic number.

4272713956 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

4272713956 is the 65366-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4272713956

4272713956 is an abundant number, since it is smaller than the sum of its proper divisors (5171252485).

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

4272713956 is an equidigital number, since it uses as much as digits as its factorization.

4272713956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 61 counting only the distinct ones).

The product of its digits is 635040, while the sum is 46.

The cubic root of 4272713956 is about 1622.6864378200.

The spelling of 4272713956 in words is "four billion, two hundred seventy-two million, seven hundred thirteen thousand, nine hundred fifty-six".