736420032 has 112 divisors (see below), whose sum is σ = 2175560800. Its totient is φ = 244270080.

The previous prime is 736419919. The next prime is 736420043. The reversal of 736420032 is 230024637.

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

It is a junction number, because it is equal to n+sod(n) for n = 736419978 and 736420005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394782 + ... + 396642.

It is an arithmetic number, because the mean of its divisors is an integer number (19424650).

Almost surely, 2^736420032 is an apocalyptic number.

736420032 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 736420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087780400).

736420032 is an abundant number, since it is smaller than the sum of its proper divisors (1439140768).

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

736420032 is a wasteful number, since it uses less digits than its factorization.

736420032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111 (or 2095 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 736420032 is about 27137.0601208016. The cubic root of 736420032 is about 903.0432093759.

Adding to 736420032 its reverse (230024637), we get a palindrome (966444669).

The spelling of 736420032 in words is "seven hundred thirty-six million, four hundred twenty thousand, thirty-two".