72800101 has 4 divisors (see below), whose sum is σ = 79418304. Its totient is φ = 66181900.

The previous prime is 72800089. The next prime is 72800113. The reversal of 72800101 is 10100827.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 10100827 = 11 ⋅918257.

It is an interprime number because it is at equal distance from previous prime (72800089) and next prime (72800113).

It is a cyclic number.

It is not a de Polignac number, because 72800101 - 2⁷ = 72799973 is a prime.

It is a super-2 number, since 2×72800101² = 10599709411220402, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72800141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3309085 + ... + 3309106.

It is an arithmetic number, because the mean of its divisors is an integer number (19854576).

Almost surely, 2^72800101 is an apocalyptic number.

It is an amenable number.

72800101 is a deficient number, since it is larger than the sum of its proper divisors (6618203).

72800101 is a wasteful number, since it uses less digits than its factorization.

72800101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6618202.

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 72800101 is about 8532.2975217699. The cubic root of 72800101 is about 417.5520888312.

Adding to 72800101 its reverse (10100827), we get a palindrome (82900928).

The spelling of 72800101 in words is "seventy-two million, eight hundred thousand, one hundred one".