70728000 has 224 divisors, whose sum is σ = 267541248. Its totient is φ = 16128000.

The previous prime is 70727971. The next prime is 70728017. The reversal of 70728000 is 82707.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167790 + ... + 168210.

Almost surely, 2^70728000 is an apocalyptic number.

70728000 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 70728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133770624).

70728000 is an abundant number, since it is smaller than the sum of its proper divisors (196813248).

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

70728000 is a wasteful number, since it uses less digits than its factorization.

70728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 70728000 is about 8409.9940546947. The cubic root of 70728000 is about 413.5523177687.

The spelling of 70728000 in words is "seventy million, seven hundred twenty-eight thousand".