7972537041 has 12 divisors (see below), whose sum is σ = 13161013632. Its totient is φ = 4555735416.

The previous prime is 7972537019. The next prime is 7972537051. The reversal of 7972537041 is 1407352797.

7972537041 is a `hidden beast` number, since 7 + 9 + 72 + 537 + 0 + 41 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-7972537041 is a prime.

It is a super-2 number, since 2×7972537041² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (7972537051) 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 11 ways as a sum of consecutive naturals, for example, 63274041 + ... + 63274166.

It is an arithmetic number, because the mean of its divisors is an integer number (1096751136).

Almost surely, 2^7972537041 is an apocalyptic number.

It is an amenable number.

7972537041 is a deficient number, since it is larger than the sum of its proper divisors (5188476591).

7972537041 is a wasteful number, since it uses less digits than its factorization.

7972537041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126548220 (or 126548217 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 7972537041 is about 89289.0645096027. The cubic root of 7972537041 is about 1997.7087962784.

The spelling of 7972537041 in words is "seven billion, nine hundred seventy-two million, five hundred thirty-seven thousand, forty-one".