72142610 has 32 divisors (see below), whose sum is σ = 132129792. Its totient is φ = 28357120.

The previous prime is 72142607. The next prime is 72142613. The reversal of 72142610 is 1624127.

It is an interprime number because it is at equal distance from previous prime (72142607) and next prime (72142613).

It is a super-2 number, since 2×72142610² = 10409112355224200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72142613) 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, 204194 + ... + 204546.

It is an arithmetic number, because the mean of its divisors is an integer number (4129056).

Almost surely, 2^72142610 is an apocalyptic number.

72142610 is a deficient number, since it is larger than the sum of its proper divisors (59987182).

72142610 is a wasteful number, since it uses less digits than its factorization.

72142610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658.

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 72142610 is about 8493.6805920637. The cubic root of 72142610 is about 416.2912508304.

Adding to 72142610 its reverse (1624127), we get a palindrome (73766737).

The spelling of 72142610 in words is "seventy-two million, one hundred forty-two thousand, six hundred ten".