819000072 has 160 divisors (see below), whose sum is σ = 2532578400. Its totient is φ = 245203200.

The previous prime is 819000053. The next prime is 819000089. The reversal of 819000072 is 270000918.

It is a super-2 number, since 2×819000072² = 1341522235872010368, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 633747 + ... + 635037.

It is an arithmetic number, because the mean of its divisors is an integer number (15828615).

Almost surely, 2^819000072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 819000072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266289200).

819000072 is an abundant number, since it is smaller than the sum of its proper divisors (1713578328).

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

819000072 is a wasteful number, since it uses less digits than its factorization.

819000072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 819000072 is about 28618.1773004501. The cubic root of 819000072 is about 935.6095511523.

The spelling of 819000072 in words is "eight hundred nineteen million, seventy-two", and thus it is an aban number.