4755072000 has 704 divisors, whose sum is σ = 19006640640. Its totient is φ = 1032192000.

The previous prime is 4755071977. The next prime is 4755072001. The reversal of 4755072000 is 2705574.

It is a super-2 number, since 2×4755072000² = 45221419450368000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4755072001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77951970 + ... + 77952030.

Almost surely, 2^4755072000 is an apocalyptic number.

4755072000 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 4755072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9503320320).

4755072000 is an abundant number, since it is smaller than the sum of its proper divisors (14251568640).

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

4755072000 is a wasteful number, since it uses less digits than its factorization.

4755072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 30.

The square root of 4755072000 is about 68957.0300984606. The cubic root of 4755072000 is about 1681.5858042264.

Adding to 4755072000 its reverse (2705574), we get a palindrome (4757777574).

The spelling of 4755072000 in words is "four billion, seven hundred fifty-five million, seventy-two thousand".