729016624 has 160 divisors (see below), whose sum is σ = 1791313920. Its totient is φ = 280433664.

The previous prime is 729016619. The next prime is 729016649. The reversal of 729016624 is 426610927.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3700494 + ... + 3700690.

It is an arithmetic number, because the mean of its divisors is an integer number (11195712).

Almost surely, 2^729016624 is an apocalyptic number.

729016624 is a gapful number since it is divisible by the number (74) 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 729016624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895656960).

729016624 is an abundant number, since it is smaller than the sum of its proper divisors (1062297296).

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

729016624 is a wasteful number, since it uses less digits than its factorization.

729016624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 729016624 is about 27000.3078500968. The cubic root of 729016624 is about 900.0068411003.

The spelling of 729016624 in words is "seven hundred twenty-nine million, sixteen thousand, six hundred twenty-four".