73397952 has 84 divisors (see below), whose sum is σ = 213177120. Its totient is φ = 24141312.

The previous prime is 73397941. The next prime is 73397957. The reversal of 73397952 is 25979337.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 73397898 and 73397907.

It is not an unprimeable number, because it can be changed into a prime (73397957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44698 + ... + 46310.

Almost surely, 2^73397952 is an apocalyptic number.

73397952 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 73397952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106588560).

73397952 is an abundant number, since it is smaller than the sum of its proper divisors (139779168).

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

73397952 is a wasteful number, since it uses less digits than its factorization.

73397952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1697 counting only the distinct ones).

The product of its digits is 357210, while the sum is 45.

The square root of 73397952 is about 8567.2604722863. The cubic root of 73397952 is about 418.6919850719.

The spelling of 73397952 in words is "seventy-three million, three hundred ninety-seven thousand, nine hundred fifty-two".