73397052288 has 1280 divisors, whose sum is σ = 290046873600. Its totient is φ = 17915904000.

The previous prime is 73397052263. The next prime is 73397052293. The reversal of 73397052288 is 88225079337.

73397052288 is a `hidden beast` number, since 7 + 3 + 39 + 7 + 0 + 522 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 726703438 + ... + 726703538.

It is an arithmetic number, because the mean of its divisors is an integer number (226599120).

Almost surely, 2^73397052288 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 73397052288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145023436800).

73397052288 is an abundant number, since it is smaller than the sum of its proper divisors (216649821312).

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

73397052288 is a wasteful number, since it uses less digits than its factorization.

73397052288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 73397052288 in words is "seventy-three billion, three hundred ninety-seven million, fifty-two thousand, two hundred eighty-eight".