73985376 has 48 divisors (see below), whose sum is σ = 194657904. Its totient is φ = 24605184.

The previous prime is 73985357. The next prime is 73985383. The reversal of 73985376 is 67358937.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×73985376² = 10947671723722752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73710 + ... + 74706.

It is an arithmetic number, because the mean of its divisors is an integer number (4055373).

Almost surely, 2^73985376 is an apocalyptic number.

It is an amenable number.

73985376 is an abundant number, since it is smaller than the sum of its proper divisors (120672528).

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

73985376 is a wasteful number, since it uses less digits than its factorization.

73985376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1775 counting only the distinct ones).

The product of its digits is 952560, while the sum is 48.

The square root of 73985376 is about 8601.4752223093. The cubic root of 73985376 is about 419.8059874902.

The spelling of 73985376 in words is "seventy-three million, nine hundred eighty-five thousand, three hundred seventy-six".