72291947 has 24 divisors (see below), whose sum is σ = 91230624. Its totient is φ = 56070144.

The previous prime is 72291931. The next prime is 72291959. The reversal of 72291947 is 74919227.

It is not a de Polignac number, because 72291947 - 2⁴ = 72291931 is a prime.

It is a super-2 number, since 2×72291947² = 10452251202101618, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72291997) 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, 62123 + ... + 63275.

It is an arithmetic number, because the mean of its divisors is an integer number (3801276).

Almost surely, 2^72291947 is an apocalyptic number.

72291947 is a deficient number, since it is larger than the sum of its proper divisors (18938677).

72291947 is a wasteful number, since it uses less digits than its factorization.

72291947 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1226 counting only the distinct ones).

The product of its digits is 63504, while the sum is 41.

The square root of 72291947 is about 8502.4671125503. The cubic root of 72291947 is about 416.5782972771.

The spelling of 72291947 in words is "seventy-two million, two hundred ninety-one thousand, nine hundred forty-seven".