1973972 has 96 divisors (see below), whose sum is σ = 5080320. Its totient is φ = 645120.

The previous prime is 1973971. The next prime is 1973977. The reversal of 1973972 is 2793791.

1973972 = 39² + 40² + ... + 181².

It is a super-3 number, since 3×1973972³ = 23075133323576478144, which contains 333 as substring.

Its product of digits (23814) is a multiple of the sum of its prime factors (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1973971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68054 + ... + 68082.

It is an arithmetic number, because the mean of its divisors is an integer number (52920).

2^1973972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1973972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540160).

1973972 is an abundant number, since it is smaller than the sum of its proper divisors (3106348).

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

1973972 is a wasteful number, since it uses less digits than its factorization.

1973972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 79 counting only the distinct ones).

The product of its digits is 23814, while the sum is 38.

The square root of 1973972 is about 1404.9811386634. The cubic root of 1973972 is about 125.4431629957.

The spelling of 1973972 in words is "one million, nine hundred seventy-three thousand, nine hundred seventy-two".