156742272 has 96 divisors (see below), whose sum is σ = 453492000. Its totient is φ = 51964416.

The previous prime is 156742259. The next prime is 156742273. The reversal of 156742272 is 272247651.

It is a happy number.

156742272 is a `hidden beast` number, since 1 + 567 + 4 + 22 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×156742272³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (156742273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 413379 + ... + 413757.

It is an arithmetic number, because the mean of its divisors is an integer number (4723875).

Almost surely, 2^156742272 is an apocalyptic number.

156742272 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 156742272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226746000).

156742272 is an abundant number, since it is smaller than the sum of its proper divisors (296749728).

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

156742272 is a wasteful number, since it uses less digits than its factorization.

156742272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 743 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 156742272 is about 12519.6753951530. The cubic root of 156742272 is about 539.1737157249.

The spelling of 156742272 in words is "one hundred fifty-six million, seven hundred forty-two thousand, two hundred seventy-two".