72410267790 has 256 divisors, whose sum is σ = 229834506240. Its totient is φ = 15873822720.

The previous prime is 72410267779. The next prime is 72410267801. The reversal of 72410267790 is 9776201427.

It is an interprime number because it is at equal distance from previous prime (72410267779) and next prime (72410267801).

It is a super-2 number, since 2×72410267790² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6615202 + ... + 6626138.

It is an arithmetic number, because the mean of its divisors is an integer number (897791040).

Almost surely, 2^72410267790 is an apocalyptic number.

72410267790 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 72410267790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114917253120).

72410267790 is an abundant number, since it is smaller than the sum of its proper divisors (157424238450).

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

72410267790 is a wasteful number, since it uses less digits than its factorization.

72410267790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11104 (or 11098 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 72410267790 in words is "seventy-two billion, four hundred ten million, two hundred sixty-seven thousand, seven hundred ninety".