1972642735 has 16 divisors (see below), whose sum is σ = 2760552000. Its totient is φ = 1352668128.

The previous prime is 1972642697. The next prime is 1972642751. The reversal of 1972642735 is 5372462791.

It is not a de Polignac number, because 1972642735 - 2⁹ = 1972642223 is a prime.

It is a super-4 number, since 4×1972642735⁴ (a number of 38 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 573400 + ... + 576829.

It is an arithmetic number, because the mean of its divisors is an integer number (172534500).

Almost surely, 2^1972642735 is an apocalyptic number.

1972642735 is a deficient number, since it is larger than the sum of its proper divisors (787909265).

1972642735 is an equidigital number, since it uses as much as digits as its factorization.

1972642735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150255 (or 1150241 counting only the distinct ones).

The product of its digits is 635040, while the sum is 46.

The square root of 1972642735 is about 44414.4428649060. The cubic root of 1972642735 is about 1254.1499902836.

The spelling of 1972642735 in words is "one billion, nine hundred seventy-two million, six hundred forty-two thousand, seven hundred thirty-five".