72661715452410 has 192 divisors, whose sum is σ = 211690285443072. Its totient is φ = 15885488513664.

The previous prime is 72661715452399. The next prime is 72661715452421. The reversal of 72661715452410 is 1425451716627.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72661715452399) and next prime (72661715452421).

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, 886693899 + ... + 886775841.

It is an arithmetic number, because the mean of its divisors is an integer number (1102553570016).

Almost surely, 2^{72661715452410} is an apocalyptic number.

72661715452410 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72661715452410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105845142721536).

72661715452410 is an abundant number, since it is smaller than the sum of its proper divisors (139028569990662).

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

72661715452410 is a wasteful number, since it uses less digits than its factorization.

72661715452410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108217 (or 108210 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 51.

The spelling of 72661715452410 in words is "seventy-two trillion, six hundred sixty-one billion, seven hundred fifteen million, four hundred fifty-two thousand, four hundred ten".