15270327072 has 1152 divisors, whose sum is σ = 63402393600. Its totient is φ = 3427522560.

The previous prime is 15270327011. The next prime is 15270327103. The reversal of 15270327072 is 27072307251.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 324900553 + ... + 324900599.

It is an arithmetic number, because the mean of its divisors is an integer number (55036800).

Almost surely, 2^15270327072 is an apocalyptic number.

15270327072 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 15270327072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31701196800).

15270327072 is an abundant number, since it is smaller than the sum of its proper divisors (48132066528).

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

15270327072 is a wasteful number, since it uses less digits than its factorization.

15270327072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

It can be divided in two parts, 152703 and 27072, that multiplied together give a square (4133975616 = 64296²).

The spelling of 15270327072 in words is "fifteen billion, two hundred seventy million, three hundred twenty-seven thousand, seventy-two".