157653672 has 64 divisors (see below), whose sum is σ = 431386560. Its totient is φ = 47616000.

The previous prime is 157653649. The next prime is 157653673. The reversal of 157653672 is 276356751.

It is not an unprimeable number, because it can be changed into a prime (157653673) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 97672 + ... + 99272.

It is an arithmetic number, because the mean of its divisors is an integer number (6740415).

Almost surely, 2^157653672 is an apocalyptic number.

157653672 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 157653672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215693280).

157653672 is an abundant number, since it is smaller than the sum of its proper divisors (273732888).

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

157653672 is a wasteful number, since it uses less digits than its factorization.

157653672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1990 counting only the distinct ones).

The product of its digits is 264600, while the sum is 42.

The square root of 157653672 is about 12556.0213443590. The cubic root of 157653672 is about 540.2167305612.

The spelling of 157653672 in words is "one hundred fifty-seven million, six hundred fifty-three thousand, six hundred seventy-two".