72610161 has 16 divisors (see below), whose sum is σ = 104522880. Its totient is φ = 44570880.

The previous prime is 72610157. The next prime is 72610193. The reversal of 72610161 is 16101627.

It is not a de Polignac number, because 72610161 - 2² = 72610157 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72610121) 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, 15001 + ... + 19241.

It is an arithmetic number, because the mean of its divisors is an integer number (6532680).

Almost surely, 2^72610161 is an apocalyptic number.

It is an amenable number.

72610161 is a deficient number, since it is larger than the sum of its proper divisors (31912719).

72610161 is a wasteful number, since it uses less digits than its factorization.

72610161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4696.

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 72610161 is about 8521.1596041853. The cubic root of 72610161 is about 417.1886327481.

Adding to 72610161 its reverse (16101627), we get a palindrome (88711788).

It can be divided in two parts, 72610 and 161, that added together give a triangular number (72771 = T₃₈₁).

The spelling of 72610161 in words is "seventy-two million, six hundred ten thousand, one hundred sixty-one".