72952627 has 16 divisors (see below), whose sum is σ = 84575232. Its totient is φ = 62190720.

The previous prime is 72952549. The next prime is 72952631. The reversal of 72952627 is 72625927.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72952627 is a prime.

It is a super-2 number, since 2×72952627² = 10644171572402258, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72952627.

It is not an unprimeable number, because it can be changed into a prime (72952657) 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 15 ways as a sum of consecutive naturals, for example, 68098 + ... + 69160.

It is an arithmetic number, because the mean of its divisors is an integer number (5285952).

Almost surely, 2^72952627 is an apocalyptic number.

72952627 is a deficient number, since it is larger than the sum of its proper divisors (11622605).

72952627 is a wasteful number, since it uses less digits than its factorization.

72952627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458.

The product of its digits is 105840, while the sum is 40.

The square root of 72952627 is about 8541.2310002716. The cubic root of 72952627 is about 417.8434946706.

The spelling of 72952627 in words is "seventy-two million, nine hundred fifty-two thousand, six hundred twenty-seven".