272129293800 has 576 divisors, whose sum is σ = 1126670388480. Its totient is φ = 57320939520.

The previous prime is 272129293769. The next prime is 272129293801. The reversal of 272129293800 is 8392921272.

It is a happy number.

272129293800 is a `hidden beast` number, since 272 + 1 + 292 + 93 + 8 + 0 + 0 = 666.

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 (272129293801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 145289664 + ... + 145291536.

It is an arithmetic number, because the mean of its divisors is an integer number (1956024980).

Almost surely, 2^272129293800 is an apocalyptic number.

272129293800 is a gapful number since it is divisible by the number (20) 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 272129293800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563335194240).

272129293800 is an abundant number, since it is smaller than the sum of its proper divisors (854541094680).

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

272129293800 is a wasteful number, since it uses less digits than its factorization.

272129293800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2802 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 272129293800 in words is "two hundred seventy-two billion, one hundred twenty-nine million, two hundred ninety-three thousand, eight hundred".