1210743072 has 192 divisors, whose sum is σ = 4402944000. Its totient is φ = 314461440.

The previous prime is 1210743059. The next prime is 1210743073. The reversal of 1210743072 is 2703470121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (1210743073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57429 + ... + 75627.

It is an arithmetic number, because the mean of its divisors is an integer number (22932000).

Almost surely, 2^1210743072 is an apocalyptic number.

1210743072 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 1210743072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201472000).

1210743072 is an abundant number, since it is smaller than the sum of its proper divisors (3192200928).

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

1210743072 is a wasteful number, since it uses less digits than its factorization.

1210743072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18236 (or 18222 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 1210743072 is about 34795.7335315696. The cubic root of 1210743072 is about 1065.8203241365.

The spelling of 1210743072 in words is "one billion, two hundred ten million, seven hundred forty-three thousand, seventy-two".