47520000 has 360 divisors, whose sum is σ = 191563680. Its totient is φ = 11520000.

The previous prime is 47519987. The next prime is 47520013. The reversal of 47520000 is 2574.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (47519987) and next prime (47520013).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4319995 + ... + 4320005.

Almost surely, 2^47520000 is an apocalyptic number.

47520000 is a gapful number since it is divisible by the number (40) 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 47520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95781840).

47520000 is an abundant number, since it is smaller than the sum of its proper divisors (144043680).

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

47520000 is an equidigital number, since it uses as much as digits as its factorization.

47520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 47520000 is about 6893.4751758456. The cubic root of 47520000 is about 362.2086442079.

Adding to 47520000 its reverse (2574), we get a palindrome (47522574).

The spelling of 47520000 in words is "forty-seven million, five hundred twenty thousand".