72574852249536 has 672 divisors, whose sum is σ = 243428681422080. Its totient is φ = 18912511328256.

The previous prime is 72574852249519. The next prime is 72574852249553. The reversal of 72574852249536 is 63594225847527.

It is an interprime number because it is at equal distance from previous prime (72574852249519) and next prime (72574852249553).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×72574852249536² (a number of 29 digits) contains 22 as substring.

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, 7818033951 + ... + 7818043233.

It is an arithmetic number, because the mean of its divisors is an integer number (362245061640).

Almost surely, 2^{72574852249536} 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 72574852249536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121714340711040).

72574852249536 is an abundant number, since it is smaller than the sum of its proper divisors (170853829172544).

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

72574852249536 is a wasteful number, since it uses less digits than its factorization.

72574852249536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10081 (or 10064 counting only the distinct ones).

The product of its digits is 1016064000, while the sum is 69.

The spelling of 72574852249536 in words is "seventy-two trillion, five hundred seventy-four billion, eight hundred fifty-two million, two hundred forty-nine thousand, five hundred thirty-six".