157005072 has 240 divisors, whose sum is σ = 536215680. Its totient is φ = 41932800.

The previous prime is 157005007. The next prime is 157005089. The reversal of 157005072 is 270500751.

157005072 is a `hidden beast` number, since 157 + 0 + 0 + 507 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1198447 + ... + 1198577.

It is an arithmetic number, because the mean of its divisors is an integer number (2234232).

Almost surely, 2^157005072 is an apocalyptic number.

157005072 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 157005072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268107840).

157005072 is an abundant number, since it is smaller than the sum of its proper divisors (379210608).

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

157005072 is a wasteful number, since it uses less digits than its factorization.

157005072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 157005072 is about 12530.1664793410. The cubic root of 157005072 is about 539.4748804629.

The spelling of 157005072 in words is "one hundred fifty-seven million, five thousand, seventy-two".