73561153 has 12 divisors (see below), whose sum is σ = 77351428. Its totient is φ = 69949440.

The previous prime is 73561133. The next prime is 73561177. The reversal of 73561153 is 35116537.

It can be written as a sum of positive squares in 2 ways, for example, as 67043344 + 6517809 = 8188^2 + 2553^2 .

It is not a de Polignac number, because 73561153 - 2⁵ = 73561121 is a prime.

It is a super-2 number, since 2×73561153² = 10822486461378818, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73561123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127201 + ... + 127777.

Almost surely, 2^73561153 is an apocalyptic number.

It is an amenable number.

73561153 is a deficient number, since it is larger than the sum of its proper divisors (3790275).

73561153 is a wasteful number, since it uses less digits than its factorization.

73561153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 841 counting only the distinct ones).

The product of its digits is 9450, while the sum is 31.

The square root of 73561153 is about 8576.7798735889. The cubic root of 73561153 is about 419.0020771405.

The spelling of 73561153 in words is "seventy-three million, five hundred sixty-one thousand, one hundred fifty-three".