736020072 has 24 divisors (see below), whose sum is σ = 1993387890. Its totient is φ = 245340000.

The previous prime is 736020071. The next prime is 736020127. The reversal of 736020072 is 270020637.

It can be written as a sum of positive squares in only one way, i.e., 455993316 + 280026756 = 21354^2 + 16734^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (736020071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5111179 + ... + 5111322.

Almost surely, 2^736020072 is an apocalyptic number.

736020072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

736020072 is an abundant number, since it is smaller than the sum of its proper divisors (1257367818).

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

736020072 is a wasteful number, since it uses less digits than its factorization.

736020072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10222513 (or 10222506 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 736020072 is about 27129.6898618469. The cubic root of 736020072 is about 902.8796946454.

The spelling of 736020072 in words is "seven hundred thirty-six million, twenty thousand, seventy-two".