70642152 has 128 divisors (see below), whose sum is σ = 236160000. Its totient is φ = 19113408.

The previous prime is 70642147. The next prime is 70642153. The reversal of 70642152 is 25124607.

70642152 is a `hidden beast` number, since 7 + 0 + 642 + 15 + 2 = 666.

It is a super-3 number, since 3×70642152³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (70642153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27499 + ... + 29957.

It is an arithmetic number, because the mean of its divisors is an integer number (1845000).

Almost surely, 2^70642152 is an apocalyptic number.

70642152 is a gapful number since it is divisible by the number (72) 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 70642152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118080000).

70642152 is an abundant number, since it is smaller than the sum of its proper divisors (165517848).

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

70642152 is a wasteful number, since it uses less digits than its factorization.

70642152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 70642152 is about 8404.8885774887. Note that the first 3 decimals coincide. The cubic root of 70642152 is about 413.3849299677.

Adding to 70642152 its reverse (25124607), we get a palindrome (95766759).

It can be divided in two parts, 7064 and 2152, that added together give a square (9216 = 96²).

The spelling of 70642152 in words is "seventy million, six hundred forty-two thousand, one hundred fifty-two".