73237632 has 128 divisors (see below), whose sum is σ = 222082560. Its totient is φ = 21184512.

The previous prime is 73237631. The next prime is 73237651. The reversal of 73237632 is 23673237.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 73237593 and 73237602.

It is not an unprimeable number, because it can be changed into a prime (73237631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84433 + ... + 85295.

It is an arithmetic number, because the mean of its divisors is an integer number (1735020).

Almost surely, 2^73237632 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 73237632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111041280).

73237632 is an abundant number, since it is smaller than the sum of its proper divisors (148844928).

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

73237632 is a wasteful number, since it uses less digits than its factorization.

73237632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 898 counting only the distinct ones).

The product of its digits is 31752, while the sum is 33.

The square root of 73237632 is about 8557.8988075345. The cubic root of 73237632 is about 418.3869191986.

It can be divided in two parts, 73 and 237632, that added together give a triangular number (237705 = T₆₈₉).

The spelling of 73237632 in words is "seventy-three million, two hundred thirty-seven thousand, six hundred thirty-two".