7954101272 has 96 divisors (see below), whose sum is σ = 16782007680. Its totient is φ = 3528944640.

The previous prime is 7954101251. The next prime is 7954101277. The reversal of 7954101272 is 2721014597.

It is a happy number.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7954101277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7250228 + ... + 7251324.

It is an arithmetic number, because the mean of its divisors is an integer number (174812580).

Almost surely, 2^7954101272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7954101272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8391003840).

7954101272 is an abundant number, since it is smaller than the sum of its proper divisors (8827906408).

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

7954101272 is a wasteful number, since it uses less digits than its factorization.

7954101272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 38.

The square root of 7954101272 is about 89185.7683265665. The cubic root of 7954101272 is about 1996.1677676878.

The spelling of 7954101272 in words is "seven billion, nine hundred fifty-four million, one hundred one thousand, two hundred seventy-two".