152424072 has 64 divisors (see below), whose sum is σ = 425952000. Its totient is φ = 50501952.

The previous prime is 152424067. The next prime is 152424109. The reversal of 152424072 is 270424251.

152424072 is a `hidden beast` number, since 15 + 242 + 407 + 2 = 666.

It is a super-2 number, since 2×152424072² = 46466195450122368, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35329 + ... + 39407.

It is an arithmetic number, because the mean of its divisors is an integer number (6655500).

Almost surely, 2^152424072 is an apocalyptic number.

152424072 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 152424072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212976000).

152424072 is an abundant number, since it is smaller than the sum of its proper divisors (273527928).

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

152424072 is a wasteful number, since it uses less digits than its factorization.

152424072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4267 (or 4257 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 152424072 is about 12346.0144176167. The cubic root of 152424072 is about 534.1761822396.

The spelling of 152424072 in words is "one hundred fifty-two million, four hundred twenty-four thousand, seventy-two".