4077972 has 48 divisors (see below), whose sum is σ = 10763200. Its totient is φ = 1334880.

The previous prime is 4077971. The next prime is 4078003. The reversal of 4077972 is 2797704.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (4077971) 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, 6279 + ... + 6897.

Almost surely, 2^4077972 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 4077972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5381600).

4077972 is an abundant number, since it is smaller than the sum of its proper divisors (6685228).

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

4077972 is a wasteful number, since it uses less digits than its factorization.

4077972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 4077972 is about 2019.3989204711. The cubic root of 4077972 is about 159.7649151804.

The spelling of 4077972 in words is "four million, seventy-seven thousand, nine hundred seventy-two".