7242787152 has 80 divisors (see below), whose sum is σ = 20822417280. Its totient is φ = 2410437888.

The previous prime is 7242787141. The next prime is 7242787169. The reversal of 7242787152 is 2517872427.

7242787152 is a `hidden beast` number, since 72 + 427 + 8 + 7 + 152 = 666.

It is a super-2 number, since 2×7242787152² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7242787098 and 7242787107.

It is a congruent number.

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, 266548 + ... + 292460.

It is an arithmetic number, because the mean of its divisors is an integer number (260280216).

Almost surely, 2^7242787152 is an apocalyptic number.

7242787152 is a gapful number since it is divisible by the number (72) 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 7242787152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10411208640).

7242787152 is an abundant number, since it is smaller than the sum of its proper divisors (13579630128).

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

7242787152 is a wasteful number, since it uses less digits than its factorization.

7242787152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26577 (or 26565 counting only the distinct ones).

The product of its digits is 439040, while the sum is 45.

The square root of 7242787152 is about 85104.5659879657. The cubic root of 7242787152 is about 1934.7962672347.

The spelling of 7242787152 in words is "seven billion, two hundred forty-two million, seven hundred eighty-seven thousand, one hundred fifty-two".