73737216 has 220 divisors, whose sum is σ = 253631488. Its totient is φ = 20901888.

The previous prime is 73737199. The next prime is 73737221. The reversal of 73737216 is 61273737.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 580545 + ... + 580671.

Almost surely, 2^73737216 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 73737216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126815744).

73737216 is an abundant number, since it is smaller than the sum of its proper divisors (179894272).

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

73737216 is a wasteful number, since it uses less digits than its factorization.

73737216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 139 counting only the distinct ones).

The product of its digits is 37044, while the sum is 36.

The square root of 73737216 is about 8587.0376731443. The cubic root of 73737216 is about 419.3360939548.

The spelling of 73737216 in words is "seventy-three million, seven hundred thirty-seven thousand, two hundred sixteen".