4088772 has 72 divisors (see below), whose sum is σ = 11346720. Its totient is φ = 1272960.

The previous prime is 4088771. The next prime is 4088801. The reversal of 4088772 is 2778804.

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

It is not an unprimeable number, because it can be changed into a prime (4088771) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31147 + ... + 31277.

Almost surely, 2^4088772 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 4088772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5673360).

4088772 is an abundant number, since it is smaller than the sum of its proper divisors (7257948).

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

4088772 is a wasteful number, since it uses less digits than its factorization.

4088772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 4088772 is about 2022.0712153631. The cubic root of 4088772 is about 159.9058300026.

It can be divided in two parts, 408 and 8772, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 4088772 in words is "four million, eighty-eight thousand, seven hundred seventy-two".