5462072000 has 224 divisors, whose sum is σ = 16866510336. Its totient is φ = 1702272000.

The previous prime is 5462071999. The next prime is 5462072027. The reversal of 5462072000 is 2702645.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 611567 + ... + 620433.

Almost surely, 2^5462072000 is an apocalyptic number.

5462072000 is a gapful number since it is divisible by the number (50) 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 5462072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8433255168).

5462072000 is an abundant number, since it is smaller than the sum of its proper divisors (11404438336).

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

5462072000 is a wasteful number, since it uses less digits than its factorization.

5462072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8912 (or 8892 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 5462072000 is about 73905.8319755620. The cubic root of 5462072000 is about 1761.1072577972.

Adding to 5462072000 its reverse (2702645), we get a palindrome (5464774645).

The spelling of 5462072000 in words is "five billion, four hundred sixty-two million, seventy-two thousand".