7354692072 has 288 divisors, whose sum is σ = 24985209600. Its totient is φ = 1913393664.

The previous prime is 7354692071. The next prime is 7354692073. The reversal of 7354692072 is 2702964537.

It is an interprime number because it is at equal distance from previous prime (7354692071) and next prime (7354692073).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (7354692071) 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, 6728358 + ... + 6729450.

It is an arithmetic number, because the mean of its divisors is an integer number (86754200).

Almost surely, 2^7354692072 is an apocalyptic number.

7354692072 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 7354692072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12492604800).

7354692072 is an abundant number, since it is smaller than the sum of its proper divisors (17630517528).

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

7354692072 is a wasteful number, since it uses less digits than its factorization.

7354692072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 7354692072 is about 85759.5013511623. The cubic root of 7354692072 is about 1944.7099284355.

The spelling of 7354692072 in words is "seven billion, three hundred fifty-four million, six hundred ninety-two thousand, seventy-two".