72047631 has 8 divisors (see below), whose sum is σ = 96130944. Its totient is φ = 47998040.

The previous prime is 72047603. The next prime is 72047671. The reversal of 72047631 is 13674027.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72047631 - 2¹⁰ = 72046607 is a prime.

It is a super-2 number, since 2×72047631² = 10381722265424322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72047671) 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 7 ways as a sum of consecutive naturals, for example, 2931 + ... + 12356.

It is an arithmetic number, because the mean of its divisors is an integer number (12016368).

Almost surely, 2^72047631 is an apocalyptic number.

72047631 is a deficient number, since it is larger than the sum of its proper divisors (24083313).

72047631 is a wasteful number, since it uses less digits than its factorization.

72047631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16861.

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 72047631 is about 8488.0875937987. The cubic root of 72047631 is about 416.1084818630.

The spelling of 72047631 in words is "seventy-two million, forty-seven thousand, six hundred thirty-one".