73552752 has 160 divisors (see below), whose sum is σ = 259983360. Its totient is φ = 19388160.

The previous prime is 73552751. The next prime is 73552757. The reversal of 73552752 is 25725537.

It is a happy number.

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 (73552751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38377 + ... + 40247.

It is an arithmetic number, because the mean of its divisors is an integer number (1624896).

Almost surely, 2^73552752 is an apocalyptic number.

73552752 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 73552752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129991680).

73552752 is an abundant number, since it is smaller than the sum of its proper divisors (186430608).

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

73552752 is a wasteful number, since it uses less digits than its factorization.

73552752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1896 counting only the distinct ones).

The product of its digits is 73500, while the sum is 36.

The square root of 73552752 is about 8576.2901070335. The cubic root of 73552752 is about 418.9861259202.

The spelling of 73552752 in words is "seventy-three million, five hundred fifty-two thousand, seven hundred fifty-two".