1405136072 has 36 divisors (see below), whose sum is σ = 2734595955. Its totient is φ = 676857216.

The previous prime is 1405136063. The next prime is 1405136077. The reversal of 1405136072 is 2706315041.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 1238054596 + 167081476 = 35186^2 + 12926^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=26506.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1405136077) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 3074468 + ... + 3074924.

Almost surely, 2^1405136072 is an apocalyptic number.

It is an amenable number.

1405136072 is a deficient number, since it is larger than the sum of its proper divisors (1329459883).

1405136072 is an frugal number, since it uses more digits than its factorization.

1405136072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 1405136072 is about 37485.1446842613. The cubic root of 1405136072 is about 1120.0552885121.

The spelling of 1405136072 in words is "one billion, four hundred five million, one hundred thirty-six thousand, seventy-two".