1831738272 has 216 divisors, whose sum is σ = 5997662496. Its totient is φ = 479291904.

The previous prime is 1831738241. The next prime is 1831738273. The reversal of 1831738272 is 2728371381.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1831738273) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14423073 + ... + 14423199.

It is an arithmetic number, because the mean of its divisors is an integer number (27766956).

Almost surely, 2^1831738272 is an apocalyptic number.

1831738272 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 1831738272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2998831248).

1831738272 is an abundant number, since it is smaller than the sum of its proper divisors (4165924224).

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

1831738272 is a wasteful number, since it uses less digits than its factorization.

1831738272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 152 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 1831738272 is about 42798.8115722855. The cubic root of 1831738272 is about 1223.5483617163.

Multiplying 1831738272 by its sum of digits (42), we get a square (76933007424 = 277368²).

1831738272 divided by its sum of digits (42) gives a square (43612816 = 6604²).

The spelling of 1831738272 in words is "one billion, eight hundred thirty-one million, seven hundred thirty-eight thousand, two hundred seventy-two".