15772320 has 120 divisors (see below), whose sum is σ = 55708884. Its totient is φ = 4202496.

The previous prime is 15772303. The next prime is 15772321. The reversal of 15772320 is 2327751.

It can be written as a sum of positive squares in 2 ways, for example, as 15397776 + 374544 = 3924^2 + 612^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (15772321) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12352 + ... + 13568.

Almost surely, 2^15772320 is an apocalyptic number.

15772320 is a gapful number since it is divisible by the number (10) 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 15772320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27854442).

15772320 is an abundant number, since it is smaller than the sum of its proper divisors (39936564).

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

15772320 is a wasteful number, since it uses less digits than its factorization.

15772320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 15772320 is about 3971.4380267102. The cubic root of 15772320 is about 250.7832501806.

The spelling of 15772320 in words is "fifteen million, seven hundred seventy-two thousand, three hundred twenty".