73561152 has 112 divisors (see below), whose sum is σ = 227177600. Its totient is φ = 20998656.

The previous prime is 73561133. The next prime is 73561177. The reversal of 73561152 is 25116537.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×73561152² = 10822486167134208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65298 + ... + 66414.

Almost surely, 2^73561152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73561152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113588800).

73561152 is an abundant number, since it is smaller than the sum of its proper divisors (153616448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73561152 is a wasteful number, since it uses less digits than its factorization.

73561152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1129 counting only the distinct ones).

The product of its digits is 6300, while the sum is 30.

The square root of 73561152 is about 8576.7798152920. The cubic root of 73561152 is about 419.0020752418.

Adding to 73561152 its reverse (25116537), we get a palindrome (98677689).

The spelling of 73561152 in words is "seventy-three million, five hundred sixty-one thousand, one hundred fifty-two".