73301952 has 56 divisors (see below), whose sum is σ = 198095616. Its totient is φ = 23911168.

The previous prime is 73301951. The next prime is 73301957. The reversal of 73301952 is 25910337.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73301951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4963 + ... + 13085.

Almost surely, 2^73301952 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 73301952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99047808).

73301952 is an abundant number, since it is smaller than the sum of its proper divisors (124793664).

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

73301952 is a wasteful number, since it uses less digits than its factorization.

73301952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8185 (or 8175 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 73301952 is about 8561.6559145997. The cubic root of 73301952 is about 418.5093643213.

The spelling of 73301952 in words is "seventy-three million, three hundred one thousand, nine hundred fifty-two".