72099706500 has 384 divisors, whose sum is σ = 237662530560. Its totient is φ = 18869760000.

The previous prime is 72099706499. The next prime is 72099706501. The reversal of 72099706500 is 560799027.

72099706500 is a `hidden beast` number, since 72 + 0 + 9 + 9 + 70 + 6 + 500 = 666.

It is an interprime number because it is at equal distance from previous prime (72099706499) and next prime (72099706501).

It is a super-2 number, since 2×72099706500² (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 not an unprimeable number, because it can be changed into a prime (72099706501) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 230350344 + ... + 230350656.

It is an arithmetic number, because the mean of its divisors is an integer number (618912840).

Almost surely, 2^72099706500 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 72099706500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118831265280).

72099706500 is an abundant number, since it is smaller than the sum of its proper divisors (165562824060).

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

72099706500 is a wasteful number, since it uses less digits than its factorization.

72099706500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 72099706500 in words is "seventy-two billion, ninety-nine million, seven hundred six thousand, five hundred".