4597200972 has 216 divisors, whose sum is σ = 14627588976. Its totient is φ = 1206648576.

The previous prime is 4597200967. The next prime is 4597200977. The reversal of 4597200972 is 2790027954.

It is an interprime number because it is at equal distance from previous prime (4597200967) and next prime (4597200977).

It is a super-2 number, since 2×4597200972² = 42268513553915489568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4597200977) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7039798 + ... + 7040450.

Almost surely, 2^4597200972 is an apocalyptic number.

4597200972 is a gapful number since it is divisible by the number (42) 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 4597200972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7313794488).

4597200972 is an abundant number, since it is smaller than the sum of its proper divisors (10030388004).

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

4597200972 is a wasteful number, since it uses less digits than its factorization.

4597200972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 4597200972 is about 67802.6619831405. The cubic root of 4597200972 is about 1662.7661062495.

The spelling of 4597200972 in words is "four billion, five hundred ninety-seven million, two hundred thousand, nine hundred seventy-two".