7392672000 has 864 divisors, whose sum is σ = 32167000320. Its totient is φ = 1592524800.

The previous prime is 7392671977. The next prime is 7392672097. The reversal of 7392672000 is 2762937.

7392672000 is a `hidden beast` number, since 7 + 392 + 67 + 200 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38303904 + ... + 38304096.

Almost surely, 2^7392672000 is an apocalyptic number.

7392672000 is a gapful number since it is divisible by the number (70) 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 7392672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16083500160).

7392672000 is an abundant number, since it is smaller than the sum of its proper divisors (24774328320).

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

7392672000 is a wasteful number, since it uses less digits than its factorization.

7392672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 7392672000 is about 85980.6489856875. The cubic root of 7392672000 is about 1948.0517029679.

The spelling of 7392672000 in words is "seven billion, three hundred ninety-two million, six hundred seventy-two thousand".