1515972 has 48 divisors (see below), whose sum is σ = 3819200. Its totient is φ = 466560.

The previous prime is 1515971. The next prime is 1515973. The reversal of 1515972 is 2795151.

It is an interprime number because it is at equal distance from previous prime (1515971) and next prime (1515973).

It is a super-4 number, since 4×1515972⁴ (a number of 26 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1515971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13854 + ... + 13962.

2^1515972 is an apocalyptic number.

1515972 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 1515972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909600).

1515972 is an abundant number, since it is smaller than the sum of its proper divisors (2303228).

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

1515972 is a wasteful number, since it uses less digits than its factorization.

1515972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 194 counting only the distinct ones).

The product of its digits is 3150, while the sum is 30.

The square root of 1515972 is about 1231.2481472067. The cubic root of 1515972 is about 114.8762878835.

The spelling of 1515972 in words is "one million, five hundred fifteen thousand, nine hundred seventy-two".