73887201 has 32 divisors (see below), whose sum is σ = 116920320. Its totient is φ = 46004112.

The previous prime is 73887193. The next prime is 73887217. The reversal of 73887201 is 10278837.

It is not a de Polignac number, because 73887201 - 2³ = 73887193 is a prime.

It is a super-2 number, since 2×73887201² = 10918636943228802, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (73887221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25320 + ... + 28086.

It is an arithmetic number, because the mean of its divisors is an integer number (3653760).

Almost surely, 2^73887201 is an apocalyptic number.

It is an amenable number.

73887201 is a deficient number, since it is larger than the sum of its proper divisors (43033119).

73887201 is a wasteful number, since it uses less digits than its factorization.

73887201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 73887201 is about 8595.7664579722. The cubic root of 73887201 is about 419.6202179127.

It can be divided in two parts, 73887 and 201, that added together give a cube (74088 = 42³).

The spelling of 73887201 in words is "seventy-three million, eight hundred eighty-seven thousand, two hundred one".