95372970 has 256 divisors, whose sum is σ = 313528320. Its totient is φ = 17971200.

The previous prime is 95372923. The next prime is 95372983. The reversal of 95372970 is 7927359.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1799464 + ... + 1799516.

It is an arithmetic number, because the mean of its divisors is an integer number (1224720).

Almost surely, 2^95372970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95372970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156764160).

95372970 is an abundant number, since it is smaller than the sum of its proper divisors (218155350).

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

95372970 is a wasteful number, since it uses less digits than its factorization.

95372970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141.

The product of its (nonzero) digits is 119070, while the sum is 42.

The square root of 95372970 is about 9765.9085598832. The cubic root of 95372970 is about 456.8866156503.

The spelling of 95372970 in words is "ninety-five million, three hundred seventy-two thousand, nine hundred seventy".