73097575282944 has 351 divisors, whose sum is σ = 219163276831233. Its totient is φ = 24332617147392.

The previous prime is 73097575282913. The next prime is 73097575282961. The reversal of 73097575282944 is 44928257579037.

The square root of 73097575282944 is 8549712.

It is a perfect power (a square), and thus also a powerful number.

73097575282944 is a `hidden beast` number, since 7 + 3 + 0 + 9 + 7 + 5 + 7 + 528 + 2 + 94 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 71510700960000 + 1586874322944 = 8456400^2 + 1259712^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 99723840402 + ... + 99723841134.

Almost surely, 2^{73097575282944} is an apocalyptic number.

73097575282944 is the 8549712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73097575282944

73097575282944 is an abundant number, since it is smaller than the sum of its proper divisors (146065701548289).

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

73097575282944 is an frugal number, since it uses more digits than its factorization.

73097575282944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 1066867200, while the sum is 72.

The spelling of 73097575282944 in words is "seventy-three trillion, ninety-seven billion, five hundred seventy-five million, two hundred eighty-two thousand, nine hundred forty-four".