73388952 has 192 divisors, whose sum is σ = 255790080. Its totient is φ = 18475776.

The previous prime is 73388933. The next prime is 73388969. The reversal of 73388952 is 25988337.

It is a junction number, because it is equal to n+sod(n) for n = 73388898 and 73388907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150453 + ... + 150939.

It is an arithmetic number, because the mean of its divisors is an integer number (1332240).

Almost surely, 2^73388952 is an apocalyptic number.

73388952 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 73388952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127895040).

73388952 is an abundant number, since it is smaller than the sum of its proper divisors (182401128).

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

73388952 is a wasteful number, since it uses less digits than its factorization.

73388952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 535 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 73388952 is about 8566.7352007635. The cubic root of 73388952 is about 418.6748711434.

It can be divided in two parts, 7338 and 8952, that added together give a triangular number (16290 = T₁₈₀).

The spelling of 73388952 in words is "seventy-three million, three hundred eighty-eight thousand, nine hundred fifty-two".