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72430941 = 31137137433
BaseRepresentation
bin1000101000100…
…11010101011101
312001021212120110
410110103111131
5122020242231
611104240233
71536436632
oct424232535
9161255513
1072430941
1137981490
1220310079
131201015b
149896189
15655b046
hex451355d

72430941 has 32 divisors (see below), whose sum is σ = 109243008. Its totient is φ = 42301440.

The previous prime is 72430921. The next prime is 72430957. The reversal of 72430941 is 14903427.

It is a happy number.

It is not a de Polignac number, because 72430941 - 25 = 72430909 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72430899 and 72430908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72430921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167061 + ... + 167493.

It is an arithmetic number, because the mean of its divisors is an integer number (3413844).

Almost surely, 272430941 is an apocalyptic number.

It is an amenable number.

72430941 is a deficient number, since it is larger than the sum of its proper divisors (36812067).

72430941 is a wasteful number, since it uses less digits than its factorization.

72430941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621.

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 72430941 is about 8510.6369326861. The cubic root of 72430941 is about 416.8451080677.

The spelling of 72430941 in words is "seventy-two million, four hundred thirty thousand, nine hundred forty-one".

Divisors: 1 3 11 33 37 111 137 407 411 433 1221 1299 1507 4521 4763 5069 14289 15207 16021 48063 55759 59321 167277 176231 177963 528693 652531 1957593 2194877 6584631 24143647 72430941