729007965 has 32 divisors (see below), whose sum is σ = 1481160960. Its totient is φ = 333260352.

The previous prime is 729007963. The next prime is 729007967. The reversal of 729007965 is 569700927.

It is an interprime number because it is at equal distance from previous prime (729007963) and next prime (729007967).

It is not a de Polignac number, because 729007965 - 2¹ = 729007963 is a prime.

It is a super-2 number, since 2×729007965² = 1062905226066882450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 729007965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729007963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384774 + ... + 386663.

It is an arithmetic number, because the mean of its divisors is an integer number (46286280).

Almost surely, 2^729007965 is an apocalyptic number.

It is an amenable number.

729007965 is an abundant number, since it is smaller than the sum of its proper divisors (752152995).

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

729007965 is a wasteful number, since it uses less digits than its factorization.

729007965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771458 (or 771452 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 729007965 is about 27000.1474995971. The cubic root of 729007965 is about 900.0032777658.

The spelling of 729007965 in words is "seven hundred twenty-nine million, seven thousand, nine hundred sixty-five".