73808352 has 36 divisors (see below), whose sum is σ = 209893320. Its totient is φ = 24602688.

The previous prime is 73808341. The next prime is 73808363. The reversal of 73808352 is 25380837.

It is an interprime number because it is at equal distance from previous prime (73808341) and next prime (73808363).

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 5 ways as a sum of consecutive naturals, for example, 127852 + ... + 128427.

It is an arithmetic number, because the mean of its divisors is an integer number (5830370).

Almost surely, 2^73808352 is an apocalyptic number.

73808352 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

73808352 is an abundant number, since it is smaller than the sum of its proper divisors (136084968).

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

73808352 is a wasteful number, since it uses less digits than its factorization.

73808352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256295 (or 256284 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 73808352 is about 8591.1787316992. The cubic root of 73808352 is about 419.4708983616.

It can be divided in two parts, 7380835 and 2, that added together give a palindrome (7380837).

The spelling of 73808352 in words is "seventy-three million, eight hundred eight thousand, three hundred fifty-two".