2972376 has 96 divisors (see below), whose sum is σ = 9172800. Its totient is φ = 894240.

The previous prime is 2972369. The next prime is 2972383. The reversal of 2972376 is 6732792.

It is an interprime number because it is at equal distance from previous prime (2972369) and next prime (2972383).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 2¹⁵ + 9² + 7⁵ + 2²¹ + 3⁶ + 7⁷ + 6⁴ .

It is a self number, because there is not a number n which added to its sum of digits gives 2972376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21315 + ... + 21453.

It is an arithmetic number, because the mean of its divisors is an integer number (95550).

2^2972376 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 2972376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4586400).

2972376 is an abundant number, since it is smaller than the sum of its proper divisors (6200424).

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

2972376 is a wasteful number, since it uses less digits than its factorization.

2972376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 155 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 2972376 is about 1724.0580036646. The cubic root of 2972376 is about 143.7809168536.

The spelling of 2972376 in words is "two million, nine hundred seventy-two thousand, three hundred seventy-six".