1972152 has 144 divisors (see below), whose sum is σ = 6846840. Its totient is φ = 508032.

The previous prime is 1972147. The next prime is 1972169. The reversal of 1972152 is 2512791.

It is a super-2 number, since 2×1972152² = 7778767022208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45843 + ... + 45885.

2^1972152 is an apocalyptic number.

1972152 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 1972152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3423420).

1972152 is an abundant number, since it is smaller than the sum of its proper divisors (4874688).

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

1972152 is a wasteful number, since it uses less digits than its factorization.

1972152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 68 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 1972152 is about 1404.3332937732. Note that the first 3 decimals coincide. The cubic root of 1972152 is about 125.4045983220.

The spelling of 1972152 in words is "one million, nine hundred seventy-two thousand, one hundred fifty-two".