72149810 has 16 divisors (see below), whose sum is σ = 130167000. Its totient is φ = 28793856.

The previous prime is 72149809. The next prime is 72149813. The reversal of 72149810 is 1894127.

It can be written as a sum of positive squares in 4 ways, for example, as 53392249 + 18757561 = 7307^2 + 4331^2 .

It is a super-2 number, since 2×72149810² = 10411190166072200, which contains 22 as substring.

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 (72149813) 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 7 ways as a sum of consecutive naturals, for example, 3545 + ... + 12524.

Almost surely, 2^72149810 is an apocalyptic number.

72149810 is a deficient number, since it is larger than the sum of its proper divisors (58017190).

72149810 is a wasteful number, since it uses less digits than its factorization.

72149810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16525.

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 72149810 is about 8494.1044260122. The cubic root of 72149810 is about 416.3050993143.

The spelling of 72149810 in words is "seventy-two million, one hundred forty-nine thousand, eight hundred ten".