73136394240 has 832 divisors, whose sum is σ = 293095735296. Its totient is φ = 15160836096.

The previous prime is 73136394239. The next prime is 73136394301. The reversal of 73136394240 is 4249363137.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (832).

It is a super-4 number, since 4×73136394240⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 73136394192 and 73136394201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 575877057 + ... + 575877183.

It is an arithmetic number, because the mean of its divisors is an integer number (352278528).

Almost surely, 2^73136394240 is an apocalyptic number.

73136394240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73136394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146547867648).

73136394240 is an abundant number, since it is smaller than the sum of its proper divisors (219959341056).

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

73136394240 is a wasteful number, since it uses less digits than its factorization.

73136394240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The spelling of 73136394240 in words is "seventy-three billion, one hundred thirty-six million, three hundred ninety-four thousand, two hundred forty".