72023132135700 has 54 divisors (see below), whose sum is σ = 225752506397054. Its totient is φ = 19206168569280.

The previous prime is 72023132135641. The next prime is 72023132135723. The reversal of 72023132135700 is 753123132027.

72023132135700 is a `hidden beast` number, since 7 + 2 + 0 + 231 + 321 + 35 + 70 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 293378222736 + 71729753912964 = 541644^2 + 8469342^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 40012850287 + ... + 40012852086.

Almost surely, 2^{72023132135700} is an apocalyptic number.

It is an amenable number.

72023132135700 is an abundant number, since it is smaller than the sum of its proper divisors (153729374261354).

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

72023132135700 is a wasteful number, since it uses less digits than its factorization.

72023132135700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80025702393 (or 80025702383 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

Adding to 72023132135700 its reverse (753123132027), we get a palindrome (72776255267727).

The spelling of 72023132135700 in words is "seventy-two trillion, twenty-three billion, one hundred thirty-two million, one hundred thirty-five thousand, seven hundred".