73278258687216 has 480 divisors, whose sum is σ = 234328397022720. Its totient is φ = 22167158492160.

The previous prime is 73278258687209. The next prime is 73278258687287. The reversal of 73278258687216 is 61278685287237.

73278258687216 is a `hidden beast` number, since 7 + 3 + 27 + 8 + 2 + 586 + 8 + 7 + 2 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3068720365 + ... + 3068744243.

It is an arithmetic number, because the mean of its divisors is an integer number (488184160464).

Almost surely, 2^{73278258687216} 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 73278258687216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117164198511360).

73278258687216 is an abundant number, since it is smaller than the sum of its proper divisors (161050138335504).

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

73278258687216 is a wasteful number, since it uses less digits than its factorization.

73278258687216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24528 (or 24488 counting only the distinct ones).

The product of its digits is 758661120, while the sum is 72.

The spelling of 73278258687216 in words is "seventy-three trillion, two hundred seventy-eight billion, two hundred fifty-eight million, six hundred eighty-seven thousand, two hundred sixteen".