73181952 has 108 divisors (see below), whose sum is σ = 220335024. Its totient is φ = 23316480.

The previous prime is 73181951. The next prime is 73181963. The reversal of 73181952 is 25918137.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (73181951) 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, 52302 + ... + 53682.

Almost surely, 2^73181952 is an apocalyptic number.

73181952 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 73181952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110167512).

73181952 is an abundant number, since it is smaller than the sum of its proper divisors (147153072).

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

73181952 is a wasteful number, since it uses less digits than its factorization.

73181952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1409 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 73181952 is about 8554.6450540043. The cubic root of 73181952 is about 418.2808640228.

The spelling of 73181952 in words is "seventy-three million, one hundred eighty-one thousand, nine hundred fifty-two".