739891152 has 640 divisors, whose sum is σ = 2999808000. Its totient is φ = 168376320.

The previous prime is 739891151. The next prime is 739891157. The reversal of 739891152 is 251198937.

739891152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 739891098 and 739891107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (739891151) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12540499 + ... + 12540557.

It is an arithmetic number, because the mean of its divisors is an integer number (4687200).

Almost surely, 2^739891152 is an apocalyptic number.

739891152 is a gapful number since it is divisible by the number (72) 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 739891152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499904000).

739891152 is an abundant number, since it is smaller than the sum of its proper divisors (2259916848).

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

739891152 is a wasteful number, since it uses less digits than its factorization.

739891152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 124 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 739891152 is about 27200.9402778654. The cubic root of 739891152 is about 904.4598190666.

The spelling of 739891152 in words is "seven hundred thirty-nine million, eight hundred ninety-one thousand, one hundred fifty-two".