9272102400 has 720 divisors, whose sum is σ = 37678088448. Its totient is φ = 2239488000.

The previous prime is 9272102351. The next prime is 9272102407. The reversal of 9272102400 is 42012729.

9272102400 is a `hidden beast` number, since 92 + 72 + 102 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9272102407) 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, 34214265 + ... + 34214535.

Almost surely, 2^9272102400 is an apocalyptic number.

9272102400 is a gapful number since it is divisible by the number (90) 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 9272102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18839044224).

9272102400 is an abundant number, since it is smaller than the sum of its proper divisors (28405986048).

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

9272102400 is a wasteful number, since it uses less digits than its factorization.

9272102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 9272102400 is about 96291.7566565280. The cubic root of 9272102400 is about 2100.8388485494.

The spelling of 9272102400 in words is "nine billion, two hundred seventy-two million, one hundred two thousand, four hundred".