73549152 has 72 divisors (see below), whose sum is σ = 220179960. Its totient is φ = 23224320.

The previous prime is 73549141. The next prime is 73549159. The reversal of 73549152 is 25194537.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73549159) 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, 1249 + ... + 12192.

It is an arithmetic number, because the mean of its divisors is an integer number (3058055).

Almost surely, 2^73549152 is an apocalyptic number.

73549152 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 73549152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110089980).

73549152 is an abundant number, since it is smaller than the sum of its proper divisors (146630808).

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

73549152 is a wasteful number, since it uses less digits than its factorization.

73549152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13476 (or 13465 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 73549152 is about 8576.0802235054. The cubic root of 73549152 is about 418.9792901250.

The spelling of 73549152 in words is "seventy-three million, five hundred forty-nine thousand, one hundred fifty-two".