70590672 has 60 divisors (see below), whose sum is σ = 202910500. Its totient is φ = 22892544.

The previous prime is 70590661. The next prime is 70590677. The reversal of 70590672 is 27609507.

70590672 is a `hidden beast` number, since 7 + 0 + 590 + 67 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42458256 + 28132416 = 6516^2 + 5304^2 .

It is a super-3 number, since 3×70590672³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70590677) 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, 1297 + ... + 11952.

Almost surely, 2^70590672 is an apocalyptic number.

70590672 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 70590672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101455250).

70590672 is an abundant number, since it is smaller than the sum of its proper divisors (132319828).

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

70590672 is a wasteful number, since it uses less digits than its factorization.

70590672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13300 (or 13291 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 70590672 is about 8401.8255159221. The cubic root of 70590672 is about 413.2844883892.

The spelling of 70590672 in words is "seventy million, five hundred ninety thousand, six hundred seventy-two".