73752120 has 320 divisors, whose sum is σ = 285405120. Its totient is φ = 16920576.

The previous prime is 73752089. The next prime is 73752127. The reversal of 73752120 is 2125737.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73752127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 715989 + ... + 716091.

It is an arithmetic number, because the mean of its divisors is an integer number (891891).

Almost surely, 2^73752120 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 73752120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142702560).

73752120 is an abundant number, since it is smaller than the sum of its proper divisors (211653000).

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

73752120 is a wasteful number, since it uses less digits than its factorization.

73752120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 73752120 is about 8587.9054489439. The cubic root of 73752120 is about 419.3643445653.

Adding to 73752120 its reverse (2125737), we get a palindrome (75877857).

The spelling of 73752120 in words is "seventy-three million, seven hundred fifty-two thousand, one hundred twenty".