73952352 has 120 divisors (see below), whose sum is σ = 220396176. Its totient is φ = 24323328.

The previous prime is 73952339. The next prime is 73952357. The reversal of 73952352 is 25325937.

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 (73952357) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 266838 + ... + 267114.

Almost surely, 2^73952352 is an apocalyptic number.

73952352 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 73952352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110198088).

73952352 is an abundant number, since it is smaller than the sum of its proper divisors (146443824).

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

73952352 is a wasteful number, since it uses less digits than its factorization.

73952352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 385 counting only the distinct ones).

The product of its digits is 56700, while the sum is 36.

The square root of 73952352 is about 8599.5553373416. Note that the first 3 decimals coincide. The cubic root of 73952352 is about 419.7435168737.

The spelling of 73952352 in words is "seventy-three million, nine hundred fifty-two thousand, three hundred fifty-two".