73584700225 has 27 divisors (see below), whose sum is σ = 92033831587. Its totient is φ = 58363207280.

The previous prime is 73584700213. The next prime is 73584700247. The reversal of 73584700225 is 52200748537.

The square root of 73584700225 is 271265.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 26490492081 + 47094208144 = 162759^2 + 217012^2 .

It is not a de Polignac number, because 73584700225 - 2⁷ = 73584700097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 307885656 + ... + 307885894.

Almost surely, 2^73584700225 is an apocalyptic number.

73584700225 is the 271265-th square number.

73584700225 is the 135633-rd centered octagonal number.

It is an amenable number.

73584700225 is a deficient number, since it is larger than the sum of its proper divisors (18449131362).

73584700225 is an frugal number, since it uses more digits than its factorization.

73584700225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 43.

The spelling of 73584700225 in words is "seventy-three billion, five hundred eighty-four million, seven hundred thousand, two hundred twenty-five".