819702072 has 64 divisors (see below), whose sum is σ = 2602233600. Its totient is φ = 234200160.

The previous prime is 819702071. The next prime is 819702109. The reversal of 819702072 is 270207918.

819702072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×819702072² = 1343822973682186368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819702071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269554 + ... + 272577.

It is an arithmetic number, because the mean of its divisors is an integer number (40659900).

Almost surely, 2^819702072 is an apocalyptic number.

It is an amenable number.

819702072 is an abundant number, since it is smaller than the sum of its proper divisors (1782531528).

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

819702072 is a wasteful number, since it uses less digits than its factorization.

819702072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542153 (or 542143 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 819702072 is about 28630.4396054269. The cubic root of 819702072 is about 935.8767918035.

The spelling of 819702072 in words is "eight hundred nineteen million, seven hundred two thousand, seventy-two".