1251972 has 36 divisors (see below), whose sum is σ = 3210480. Its totient is φ = 411312.

The previous prime is 1251961. The next prime is 1251983. The reversal of 1251972 is 2791521.

It is an interprime number because it is at equal distance from previous prime (1251961) and next prime (1251983).

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2779 + ... + 3197.

It is an arithmetic number, because the mean of its divisors is an integer number (89180).

2^1251972 is an apocalyptic number.

1251972 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 1251972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605240).

1251972 is an abundant number, since it is smaller than the sum of its proper divisors (1958508).

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

1251972 is a wasteful number, since it uses less digits than its factorization.

1251972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 507 counting only the distinct ones).

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

The square root of 1251972 is about 1118.9155464109. The cubic root of 1251972 is about 107.7783520082.

It can be divided in two parts, 12 and 51972, that added together give a square (51984 = 228²).

The spelling of 1251972 in words is "one million, two hundred fifty-one thousand, nine hundred seventy-two".