72987147394560 has 1600 divisors, whose sum is σ = 315229075476480. Its totient is φ = 15767428792320.

The previous prime is 72987147394519. The next prime is 72987147394561. The reversal of 72987147394560 is 6549374178927.

72987147394560 is a `hidden beast` number, since 7 + 2 + 9 + 8 + 7 + 1 + 473 + 94 + 5 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72987147394561) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12603545265 + ... + 12603551055.

It is a 1-persistent number, because it is pandigital, but 2⋅72987147394560 = 145974294789120 is not.

Almost surely, 2^{72987147394560} is an apocalyptic number.

72987147394560 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 72987147394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157614537738240).

72987147394560 is an abundant number, since it is smaller than the sum of its proper divisors (242241928081920).

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

72987147394560 is a wasteful number, since it uses less digits than its factorization.

72987147394560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6309 (or 6284 counting only the distinct ones).

The product of its (nonzero) digits is 640120320, while the sum is 72.

The spelling of 72987147394560 in words is "seventy-two trillion, nine hundred eighty-seven billion, one hundred forty-seven million, three hundred ninety-four thousand, five hundred sixty".