72101464 has 16 divisors (see below), whose sum is σ = 135281520. Its totient is φ = 36026400.

The previous prime is 72101461. The next prime is 72101467. The reversal of 72101464 is 46410127.

It is an interprime number because it is at equal distance from previous prime (72101461) and next prime (72101467).

It is a super-2 number, since 2×72101464² = 10397242221886592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72101461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18642 + ... + 22174.

It is an arithmetic number, because the mean of its divisors is an integer number (8455095).

Almost surely, 2^72101464 is an apocalyptic number.

It is an amenable number.

72101464 is a deficient number, since it is larger than the sum of its proper divisors (63180056).

72101464 is a wasteful number, since it uses less digits than its factorization.

72101464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6090 (or 6086 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 72101464 is about 8491.2580928859. The cubic root of 72101464 is about 416.2120929086.

The spelling of 72101464 in words is "seventy-two million, one hundred one thousand, four hundred sixty-four".