72514827 has 24 divisors (see below), whose sum is σ = 130590720. Its totient is φ = 37669680.

The previous prime is 72514789. The next prime is 72514831. The reversal of 72514827 is 72841527.

It is not a de Polignac number, because 72514827 - 2⁶ = 72514763 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72514791 and 72514800.

It is not an unprimeable number, because it can be changed into a prime (72514867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51627 + ... + 53012.

It is an arithmetic number, because the mean of its divisors is an integer number (5441280).

Almost surely, 2^72514827 is an apocalyptic number.

72514827 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

72514827 is a deficient number, since it is larger than the sum of its proper divisors (58075893).

72514827 is a wasteful number, since it uses less digits than its factorization.

72514827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104663 (or 104660 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 72514827 is about 8515.5638098719. The cubic root of 72514827 is about 417.0059692398.

The spelling of 72514827 in words is "seventy-two million, five hundred fourteen thousand, eight hundred twenty-seven".