47724072 has 32 divisors (see below), whose sum is σ = 130157280. Its totient is φ = 14461760.

The previous prime is 47724037. The next prime is 47724073. The reversal of 47724072 is 27042774.

It is a super-2 number, since 2×47724072² = 4555174096522368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) 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 (33).

It is not an unprimeable number, because it can be changed into a prime (47724073) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 90123 + ... + 90650.

It is an arithmetic number, because the mean of its divisors is an integer number (4067415).

Almost surely, 2^47724072 is an apocalyptic number.

It is an amenable number.

47724072 is an abundant number, since it is smaller than the sum of its proper divisors (82433208).

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

47724072 is a wasteful number, since it uses less digits than its factorization.

47724072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180793 (or 180789 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 33.

The square root of 47724072 is about 6908.2611415609. The cubic root of 47724072 is about 362.7263987243.

The spelling of 47724072 in words is "forty-seven million, seven hundred twenty-four thousand, seventy-two".