72098131 has 16 divisors (see below), whose sum is σ = 84853440. Its totient is φ = 59973120.

The previous prime is 72098129. The next prime is 72098149. The reversal of 72098131 is 13189027.

It is a cyclic number.

It is not a de Polignac number, because 72098131 - 2¹ = 72098129 is a prime.

It is a super-2 number, since 2×72098131² = 10396280987386322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72098093 and 72098102.

It is not an unprimeable number, because it can be changed into a prime (72098101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65175 + ... + 66271.

It is an arithmetic number, because the mean of its divisors is an integer number (5303340).

Almost surely, 2^72098131 is an apocalyptic number.

72098131 is a deficient number, since it is larger than the sum of its proper divisors (12755309).

72098131 is a wasteful number, since it uses less digits than its factorization.

72098131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374.

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 72098131 is about 8491.0618299480. The cubic root of 72098131 is about 416.2056794638.

The spelling of 72098131 in words is "seventy-two million, ninety-eight thousand, one hundred thirty-one".