73561032 has 96 divisors (see below), whose sum is σ = 208873080. Its totient is φ = 23362560.

The previous prime is 73561013. The next prime is 73561073. The reversal of 73561032 is 23016537.

It is a happy number.

73561032 is a `hidden beast` number, since 73 + 561 + 0 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 71673156 + 1887876 = 8466^2 + 1374^2 .

It is a super-2 number, since 2×73561032² = 10822450857810048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 73560987 and 73561005.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140932 + ... + 141452.

Almost surely, 2^73561032 is an apocalyptic number.

73561032 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73561032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104436540).

73561032 is an abundant number, since it is smaller than the sum of its proper divisors (135312048).

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

73561032 is a wasteful number, since it uses less digits than its factorization.

73561032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 73561032 is about 8576.7728196566. The cubic root of 73561032 is about 419.0018474029.

Adding to 73561032 its reverse (23016537), we get a palindrome (96577569).

The spelling of 73561032 in words is "seventy-three million, five hundred sixty-one thousand, thirty-two".