73852416 has 240 divisors, whose sum is σ = 245127168. Its totient is φ = 21196800.

The previous prime is 73852409. The next prime is 73852423. The reversal of 73852416 is 61425837.

It is an interprime number because it is at equal distance from previous prime (73852409) and next prime (73852423).

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 23 ways as a sum of consecutive naturals, for example, 1571305 + ... + 1571351.

Almost surely, 2^73852416 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 73852416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122563584).

73852416 is an abundant number, since it is smaller than the sum of its proper divisors (171274752).

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

73852416 is a wasteful number, since it uses less digits than its factorization.

73852416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 94 counting only the distinct ones).

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

The square root of 73852416 is about 8593.7428399970. The cubic root of 73852416 is about 419.5543572481.

It can be divided in two parts, 7385 and 2416, that added together give a square (9801 = 99²).

The spelling of 73852416 in words is "seventy-three million, eight hundred fifty-two thousand, four hundred sixteen".