95472000 has 512 divisors, whose sum is σ = 400982400. Its totient is φ = 22118400.

The previous prime is 95471947. The next prime is 95472019. The reversal of 95472000 is 27459.

It is a super-2 number, since 2×95472000² = 18229805568000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5615992 + ... + 5616008.

Almost surely, 2^95472000 is an apocalyptic number.

95472000 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 95472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200491200).

95472000 is an abundant number, since it is smaller than the sum of its proper divisors (305510400).

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

95472000 is a wasteful number, since it uses less digits than its factorization.

95472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 95472000 is about 9770.9774331947. The cubic root of 95472000 is about 457.0446961856.

Adding to 95472000 its reverse (27459), we get a palindrome (95499459).

The spelling of 95472000 in words is "ninety-five million, four hundred seventy-two thousand".