1761472272 has 160 divisors (see below), whose sum is σ = 5528217600. Its totient is φ = 471803904.

The previous prime is 1761472259. The next prime is 1761472301. The reversal of 1761472272 is 2722741671.

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 1761472272.

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, 2050179 + ... + 2051037.

It is an arithmetic number, because the mean of its divisors is an integer number (34551360).

Almost surely, 2^1761472272 is an apocalyptic number.

1761472272 is a gapful number since it is divisible by the number (12) 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 1761472272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764108800).

1761472272 is an abundant number, since it is smaller than the sum of its proper divisors (3766745328).

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

1761472272 is a wasteful number, since it uses less digits than its factorization.

1761472272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1247 counting only the distinct ones).

The product of its digits is 65856, while the sum is 39.

The square root of 1761472272 is about 41969.8972121686. The cubic root of 1761472272 is about 1207.6987136585.

The spelling of 1761472272 in words is "one billion, seven hundred sixty-one million, four hundred seventy-two thousand, two hundred seventy-two".