73643625 has 72 divisors (see below), whose sum is σ = 146190408. Its totient is φ = 35640000.

The previous prime is 73643593. The next prime is 73643627. The reversal of 73643625 is 52634637.

73643625 is a `hidden beast` number, since 7 + 3 + 643 + 6 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5035536 + 68608089 = 2244^2 + 8283^2 .

It is not a de Polignac number, because 73643625 - 2⁵ = 73643593 is a prime.

Its product of digits (90720) is a multiple of the sum of its prime divisors (560).

It is a self number, because there is not a number n which added to its sum of digits gives 73643625.

It is not an unprimeable number, because it can be changed into a prime (73643627) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 135855 + ... + 136395.

Almost surely, 2^73643625 is an apocalyptic number.

73643625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

73643625 is a deficient number, since it is larger than the sum of its proper divisors (72546783).

73643625 is a wasteful number, since it uses less digits than its factorization.

73643625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 560 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 73643625 is about 8581.5863918043. The cubic root of 73643625 is about 419.1586046552.

The spelling of 73643625 in words is "seventy-three million, six hundred forty-three thousand, six hundred twenty-five".