147024072 has 160 divisors (see below), whose sum is σ = 458599680. Its totient is φ = 43701120.

The previous prime is 147024043. The next prime is 147024107. The reversal of 147024072 is 270420741.

It is a happy number.

It is a super-2 number, since 2×147024072² = 43232155494922368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) 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 (27).

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 39 ways as a sum of consecutive naturals, for example, 260863 + ... + 261425.

It is an arithmetic number, because the mean of its divisors is an integer number (2866248).

Almost surely, 2^147024072 is an apocalyptic number.

147024072 is a gapful number since it is divisible by the number (12) 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 147024072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229299840).

147024072 is an abundant number, since it is smaller than the sum of its proper divisors (311575608).

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

147024072 is a wasteful number, since it uses less digits than its factorization.

147024072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 147024072 is about 12125.3483248936. The cubic root of 147024072 is about 527.7920151908.

The spelling of 147024072 in words is "one hundred forty-seven million, twenty-four thousand, seventy-two".