1210500072 has 128 divisors (see below), whose sum is σ = 3510864000. Its totient is φ = 386081280.

The previous prime is 1210500061. The next prime is 1210500091. The reversal of 1210500072 is 2700050121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 468079 + ... + 470657.

It is an arithmetic number, because the mean of its divisors is an integer number (27428625).

Almost surely, 2^1210500072 is an apocalyptic number.

1210500072 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 1210500072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755432000).

1210500072 is an abundant number, since it is smaller than the sum of its proper divisors (2300363928).

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

1210500072 is a wasteful number, since it uses less digits than its factorization.

1210500072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688 (or 2678 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 1210500072 is about 34792.2415489431. The cubic root of 1210500072 is about 1065.7490148517.

Adding to 1210500072 its reverse (2700050121), we get a palindrome (3910550193).

The spelling of 1210500072 in words is "one billion, two hundred ten million, five hundred thousand, seventy-two".