73078219493136 has 1440 divisors, whose sum is σ = 258780877380480. Its totient is φ = 19844091970560.

The previous prime is 73078219493057. The next prime is 73078219493231. The reversal of 73078219493136 is 63139491287037.

It is a happy number.

73078219493136 is a `hidden beast` number, since 7 + 3 + 0 + 7 + 8 + 2 + 1 + 9 + 493 + 136 = 666.

It is a super-2 number, since 2×73078219493136² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 164962120531 + ... + 164962120973.

Almost surely, 2^{73078219493136} 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 73078219493136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129390438690240).

73078219493136 is an abundant number, since it is smaller than the sum of its proper divisors (185702657887344).

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

73078219493136 is a wasteful number, since it uses less digits than its factorization.

73078219493136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 73078219493136 in words is "seventy-three trillion, seventy-eight billion, two hundred nineteen million, four hundred ninety-three thousand, one hundred thirty-six".