73930752 has 192 divisors, whose sum is σ = 251596800. Its totient is φ = 21012480.

The previous prime is 73930741. The next prime is 73930789. The reversal of 73930752 is 25703937.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386977 + ... + 387167.

It is an arithmetic number, because the mean of its divisors is an integer number (1310400).

Almost surely, 2^73930752 is an apocalyptic number.

73930752 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 73930752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125798400).

73930752 is an abundant number, since it is smaller than the sum of its proper divisors (177666048).

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

73930752 is a wasteful number, since it uses less digits than its factorization.

73930752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

The square root of 73930752 is about 8598.2993667353. The cubic root of 73930752 is about 419.7026466711.

The spelling of 73930752 in words is "seventy-three million, nine hundred thirty thousand, seven hundred fifty-two".