157200005772 has 84 divisors (see below), whose sum is σ = 412579991376. Its totient is φ = 52384929120.

The previous prime is 157200005749. The next prime is 157200005779. The reversal of 157200005772 is 277500002751.

157200005772 is a `hidden beast` number, since 15 + 72 + 0 + 0 + 0 + 0 + 577 + 2 = 666.

157200005772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (157200005779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 15335953 + ... + 15346199.

It is an arithmetic number, because the mean of its divisors is an integer number (4911666564).

Almost surely, 2^157200005772 is an apocalyptic number.

157200005772 is a gapful number since it is divisible by the number (12) 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 157200005772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206289995688).

157200005772 is an abundant number, since it is smaller than the sum of its proper divisors (255379985604).

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

157200005772 is a wasteful number, since it uses less digits than its factorization.

157200005772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15530 (or 15513 counting only the distinct ones).

The product of its (nonzero) digits is 34300, while the sum is 36.

The spelling of 157200005772 in words is "one hundred fifty-seven billion, two hundred million, five thousand, seven hundred seventy-two".