4077572000 has 96 divisors (see below), whose sum is σ = 10118790864. Its totient is φ = 1614720000.

The previous prime is 4077571987. The next prime is 4077572017. The reversal of 4077572000 is 2757704.

It is a happy number.

4077572000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 861774736 + 3215797264 = 29356^2 + 56708^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 398954 + ... + 409046.

Almost surely, 2^4077572000 is an apocalyptic number.

4077572000 is a gapful number since it is divisible by the number (40) 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 4077572000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5059395432).

4077572000 is an abundant number, since it is smaller than the sum of its proper divisors (6041218864).

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

4077572000 is a wasteful number, since it uses less digits than its factorization.

4077572000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10219 (or 10201 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 32.

The square root of 4077572000 is about 63855.8689550146. The cubic root of 4077572000 is about 1597.5969133745.

The spelling of 4077572000 in words is "four billion, seventy-seven million, five hundred seventy-two thousand".