72622627 has 24 divisors (see below), whose sum is σ = 91929600. Its totient is φ = 56155440.

The previous prime is 72622621. The next prime is 72622631.

72622627 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72622627 - 2⁷ = 72622499 is a prime.

It is a super-2 number, since 2×72622627² = 10548091904762258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72622592 and 72622601.

It is not an unprimeable number, because it can be changed into a prime (72622621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151374 + ... + 151852.

It is an arithmetic number, because the mean of its divisors is an integer number (3830400).

Almost surely, 2^72622627 is an apocalyptic number.

72622627 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

72622627 is a deficient number, since it is larger than the sum of its proper divisors (19306973).

72622627 is a wasteful number, since it uses less digits than its factorization.

72622627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 676 counting only the distinct ones).

The product of its digits is 28224, while the sum is 34.

The square root of 72622627 is about 8521.8910460062. The cubic root of 72622627 is about 417.2125062475.

It can be divided in two parts, 7262 and 2627, that added together give a palindrome (9889).

The spelling of 72622627 in words is "seventy-two million, six hundred twenty-two thousand, six hundred twenty-seven".