7152278400 has 192 divisors, whose sum is σ = 26175668400. Its totient is φ = 1907251200.

The previous prime is 7152278359. The next prime is 7152278401. The reversal of 7152278400 is 48722517.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×7152278400² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7152278401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45010 + ... + 127790.

Almost surely, 2^7152278400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7152278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13087834200).

7152278400 is an abundant number, since it is smaller than the sum of its proper divisors (19023390000).

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

7152278400 is a wasteful number, since it uses less digits than its factorization.

7152278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82814 (or 82791 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 7152278400 is about 84571.1440149653. The cubic root of 7152278400 is about 1926.7031331856.

The spelling of 7152278400 in words is "seven billion, one hundred fifty-two million, two hundred seventy-eight thousand, four hundred".