72416247345760 has 96 divisors (see below), whose sum is σ = 178005835405440. Its totient is φ = 27805991098368.

The previous prime is 72416247345719. The next prime is 72416247345773. The reversal of 72416247345760 is 6754374261427.

It is a happy number.

It is a super-2 number, since 2×72416247345760² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a junction number, because it is equal to n+sod(n) for n = 72416247345695 and 72416247345704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44304072 + ... + 45909511.

It is an arithmetic number, because the mean of its divisors is an integer number (1854227452140).

Almost surely, 2^{72416247345760} is an apocalyptic number.

It is an amenable number.

72416247345760 is an abundant number, since it is smaller than the sum of its proper divisors (105589588059680).

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

72416247345760 is a wasteful number, since it uses less digits than its factorization.

72416247345760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90213800 (or 90213792 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 58.

The spelling of 72416247345760 in words is "seventy-two trillion, four hundred sixteen billion, two hundred forty-seven million, three hundred forty-five thousand, seven hundred sixty".