72105410 has 32 divisors (see below), whose sum is σ = 143035200. Its totient is φ = 26002368.

The previous prime is 72105401. The next prime is 72105419. The reversal of 72105410 is 1450127.

It is an interprime number because it is at equal distance from previous prime (72105401) and next prime (72105419).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (72105419) 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, 860 + ... + 12039.

It is an arithmetic number, because the mean of its divisors is an integer number (4469850).

Almost surely, 2^72105410 is an apocalyptic number.

72105410 is a deficient number, since it is larger than the sum of its proper divisors (70929790).

72105410 is a wasteful number, since it uses less digits than its factorization.

72105410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12962.

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 72105410 is about 8491.4904463233. The cubic root of 72105410 is about 416.2196856484.

Adding to 72105410 its reverse (1450127), we get a palindrome (73555537).

The spelling of 72105410 in words is "seventy-two million, one hundred five thousand, four hundred ten".