72323657000 has 192 divisors, whose sum is σ = 197315436240. Its totient is φ = 24740352000.

The previous prime is 72323656969. The next prime is 72323657009. The reversal of 72323657000 is 75632327.

It can be written as a sum of positive squares in 8 ways, for example, as 17522596 + 72306134404 = 4186^2 + 268898^2 .

It is a super-2 number, since 2×72323657000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (72323657009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25527584 + ... + 25530416.

Almost surely, 2^72323657000 is an apocalyptic number.

72323657000 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 72323657000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98657718120).

72323657000 is an abundant number, since it is smaller than the sum of its proper divisors (124991779240).

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

72323657000 is a wasteful number, since it uses less digits than its factorization.

72323657000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3389 (or 3368 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 35.

The spelling of 72323657000 in words is "seventy-two billion, three hundred twenty-three million, six hundred fifty-seven thousand".