73516032 has 88 divisors (see below), whose sum is σ = 217800800. Its totient is φ = 24496128.

The previous prime is 73516019. The next prime is 73516043. The reversal of 73516032 is 23061537.

It is a happy number.

73516032 is a `hidden beast` number, since 7 + 3 + 51 + 603 + 2 = 666.

It is a super-2 number, since 2×73516032² = 10809213922050048, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 73515987 and 73516005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26319 + ... + 28977.

Almost surely, 2^73516032 is an apocalyptic number.

73516032 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 73516032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108900400).

73516032 is an abundant number, since it is smaller than the sum of its proper divisors (144284768).

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

73516032 is a wasteful number, since it uses less digits than its factorization.

73516032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688 (or 2664 counting only the distinct ones).

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

The square root of 73516032 is about 8574.1490539878. The cubic root of 73516032 is about 418.9163903400.

Adding to 73516032 its reverse (23061537), we get a palindrome (96577569).

The spelling of 73516032 in words is "seventy-three million, five hundred sixteen thousand, thirty-two".